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4094058384 = 243313898191
BaseRepresentation
bin1111010000000110…
…0101111110010000
3101120022200201022000
43310001211332100
531341034332014
61514125514000
7203311631163
oct36401457620
911508621260
104094058384
111810a97729
12963112900
13503264970
142aba39ada
1518e654509
hexf4065f90

4094058384 has 160 divisors (see below), whose sum is σ = 12799180800. Its totient is φ = 1245404160.

The previous prime is 4094058379. The next prime is 4094058389. The reversal of 4094058384 is 4838504904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4094058379) and next prime (4094058389).

It is a super-2 number, since 2×40940583842 = 33522628103201382912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4094058389) 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, 495729 + ... + 503919.

It is an arithmetic number, because the mean of its divisors is an integer number (79994880).

Almost surely, 24094058384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4094058384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399590400).

4094058384 is an abundant number, since it is smaller than the sum of its proper divisors (8705122416).

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

4094058384 is a wasteful number, since it uses less digits than its factorization.

4094058384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4094058384 is about 63984.8293269584. The cubic root of 4094058384 is about 1599.7471454591.

The spelling of 4094058384 in words is "four billion, ninety-four million, fifty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 89 104 108 117 144 156 178 208 216 234 267 312 351 356 432 468 534 624 702 712 801 936 1068 1157 1404 1424 1602 1872 2136 2314 2403 2808 3204 3471 4272 4628 4806 5616 6408 6942 8191 9256 9612 10413 12816 13884 16382 18512 19224 20826 24573 27768 31239 32764 38448 41652 49146 55536 62478 65528 73719 83304 98292 106483 124956 131056 147438 166608 196584 212966 221157 249912 294876 319449 393168 425932 442314 499824 589752 638898 728999 851864 884628 958347 1179504 1277796 1457998 1703728 1769256 1916694 2186997 2555592 2875041 2915996 3538512 3833388 4373994 5111184 5750082 5831992 6560991 7666776 8747988 9476987 11500164 11663984 13121982 15333552 17495976 18953974 19682973 23000328 26243964 28430961 34991952 37907948 39365946 46000656 52487928 56861922 75815896 78731892 85292883 104975856 113723844 151631792 157463784 170585766 227447688 255878649 314927568 341171532 454895376 511757298 682343064 1023514596 1364686128 2047029192 4094058384