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3625925376 = 283171671663
BaseRepresentation
bin1101100000011111…
…0011101100000000
3100100200211002112110
43120013303230000
524411214103001
61355444055320
7155565600003
oct33007635400
910320732473
103625925376
1115a0816447
12852394540
1345a289598
142657bb53a
151634d33d6
hexd81f3b00

3625925376 has 144 divisors (see below), whose sum is σ = 10285277184. Its totient is φ = 1130053632.

The previous prime is 3625925353. The next prime is 3625925399. The reversal of 3625925376 is 6735295263.

It is an interprime number because it is at equal distance from previous prime (3625925353) and next prime (3625925399).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2179521 + ... + 2181183.

It is an arithmetic number, because the mean of its divisors is an integer number (71425536).

Almost surely, 23625925376 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 3625925376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142638592).

3625925376 is an abundant number, since it is smaller than the sum of its proper divisors (6659351808).

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

3625925376 is a wasteful number, since it uses less digits than its factorization.

3625925376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1852 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 48.

The square root of 3625925376 is about 60215.6572329822. The cubic root of 3625925376 is about 1536.2891165840.

The spelling of 3625925376 in words is "three billion, six hundred twenty-five million, nine hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 167 192 204 256 272 334 384 408 501 544 668 768 816 1002 1088 1336 1632 1663 2004 2176 2672 2839 3264 3326 4008 4352 4989 5344 5678 6528 6652 8016 8517 9978 10688 11356 13056 13304 16032 17034 19956 21376 22712 26608 28271 32064 34068 39912 42752 45424 53216 56542 64128 68136 79824 84813 90848 106432 113084 128256 136272 159648 169626 181696 212864 226168 272544 277721 319296 339252 363392 425728 452336 545088 555442 638592 678504 726784 833163 904672 1090176 1110884 1277184 1357008 1666326 1809344 2180352 2221768 2714016 3332652 3618688 4443536 4721257 5428032 6665304 7237376 8887072 9442514 10856064 13330608 14163771 17774144 18885028 21712128 26661216 28327542 35548288 37770056 53322432 56655084 71096576 75540112 106644864 113310168 151080224 213289728 226620336 302160448 453240672 604320896 906481344 1208641792 1812962688 3625925376