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4225832256 = 263171968141
BaseRepresentation
bin1111101111100001…
…0001010101000000
3101220111122112001210
43323320101111000
532123303113011
61535154130120
7206501660442
oct37370212500
911814575053
104225832256
111879410358
1299b280940
13524651979
142c133c492
1519aed36a6
hexfbe11540

4225832256 has 112 divisors (see below), whose sum is σ = 12461808960. Its totient is φ = 1255956480.

The previous prime is 4225832243. The next prime is 4225832293. The reversal of 4225832256 is 6522385224.

It is a congruent number.

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, 27946 + ... + 96086.

Almost surely, 24225832256 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 4225832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230904480).

4225832256 is an abundant number, since it is smaller than the sum of its proper divisors (8235976704).

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

4225832256 is a wasteful number, since it uses less digits than its factorization.

4225832256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68192 (or 68182 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 4225832256 is about 65006.4016539910. The cubic root of 4225832256 is about 1616.7297050891.

The spelling of 4225832256 in words is "four billion, two hundred twenty-five million, eight hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 136 152 192 204 228 272 304 323 408 456 544 608 646 816 912 969 1088 1216 1292 1632 1824 1938 2584 3264 3648 3876 5168 7752 10336 15504 20672 31008 62016 68141 136282 204423 272564 408846 545128 817692 1090256 1158397 1294679 1635384 2180512 2316794 2589358 3270768 3475191 3884037 4361024 4633588 5178716 6541536 6950382 7768074 9267176 10357432 13083072 13900764 15536148 18534352 20714864 22009543 27801528 31072296 37068704 41429728 44019086 55603056 62144592 66028629 74137408 82859456 88038172 111206112 124289184 132057258 176076344 222412224 248578368 264114516 352152688 528229032 704305376 1056458064 1408610752 2112916128 4225832256