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4207990368 = 253971393251
BaseRepresentation
bin1111101011010000…
…1101011001100000
3101212021002001121010
43322310031121200
532104221142433
61533315500520
7206164220331
oct37264153140
911767061533
104207990368
11186a33449a
129952b7740
13520a4593a
142bcc16288
1519965be63
hexfad0d660

4207990368 has 96 divisors (see below), whose sum is σ = 11243594880. Its totient is φ = 1377792000.

The previous prime is 4207990361. The next prime is 4207990373. The reversal of 4207990368 is 8630997024.

4207990368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4207990361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292743 + ... + 1295993.

It is an arithmetic number, because the mean of its divisors is an integer number (117120780).

Almost surely, 24207990368 is an apocalyptic number.

4207990368 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 4207990368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621797440).

4207990368 is an abundant number, since it is smaller than the sum of its proper divisors (7035604512).

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

4207990368 is a wasteful number, since it uses less digits than its factorization.

4207990368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 4207990368 is about 64869.0247190445. The cubic root of 4207990368 is about 1614.4511636263.

The spelling of 4207990368 in words is "four billion, two hundred seven million, nine hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 139 194 278 291 388 417 556 582 776 834 1112 1164 1552 1668 2224 2328 3104 3251 3336 4448 4656 6502 6672 9312 9753 13004 13344 13483 19506 26008 26966 39012 40449 52016 53932 78024 80898 104032 107864 156048 161796 215728 312096 315347 323592 431456 451889 630694 647184 903778 946041 1261388 1294368 1355667 1807556 1892082 2522776 2711334 3615112 3784164 5045552 5422668 7230224 7568328 10091104 10845336 14460448 15136656 21690672 30273312 43381344 43833233 87666466 131499699 175332932 262999398 350665864 525998796 701331728 1051997592 1402663456 2103995184 4207990368