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4238804688 = 2432383167277
BaseRepresentation
bin1111110010100111…
…0000011011010000
3101221102001120220020
43330221300123100
532140113222223
61540340143440
7210020150106
oct37451603320
911842046806
104238804688
111885770778
129a3697b80
13527244471
142c2d57c76
1519c1e71e3
hexfca706d0

4238804688 has 160 divisors (see below), whose sum is σ = 11675252736. Its totient is φ = 1322433024.

The previous prime is 4238804683. The next prime is 4238804707. The reversal of 4238804688 is 8864088324.

4238804688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4238804688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4238804683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15302406 + ... + 15302682.

Almost surely, 24238804688 is an apocalyptic number.

4238804688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4238804688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837626368).

4238804688 is an abundant number, since it is smaller than the sum of its proper divisors (7436448048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4238804688 is a wasteful number, since it uses less digits than its factorization.

4238804688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The square root of 4238804688 is about 65106.1033083689. The cubic root of 4238804688 is about 1618.3823572041.

The spelling of 4238804688 in words is "four billion, two hundred thirty-eight million, eight hundred four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 167 184 249 276 277 332 334 368 498 501 552 554 664 668 831 996 1002 1104 1108 1328 1336 1662 1909 1992 2004 2216 2672 3324 3818 3841 3984 4008 4432 5727 6371 6648 7636 7682 8016 11454 11523 12742 13296 13861 15272 15364 19113 22908 22991 23046 25484 27722 30544 30728 38226 41583 45816 45982 46092 46259 50968 55444 61456 68973 76452 83166 91632 91964 92184 92518 101936 110888 137946 138777 152904 166332 183928 184368 185036 221776 275892 277554 305808 318803 332664 367856 370072 528793 551784 555108 637606 665328 740144 956409 1057586 1063957 1103568 1110216 1275212 1586379 1912818 2115172 2127914 2220432 2550424 3172758 3191871 3825636 3839497 4230344 4255828 5100848 6345516 6383742 7651272 7678994 8460688 8511656 11518491 12691032 12767484 15302544 15357988 17023312 23036982 25382064 25534968 30715976 46073964 51069936 61431952 88308431 92147928 176616862 184295856 264925293 353233724 529850586 706467448 1059701172 1412934896 2119402344 4238804688