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645022656 = 26332831319
BaseRepresentation
bin100110011100100…
…100001111000000
31122221201112202000
4212130210033000
52310111211111
6144001024000
721661413345
oct4634441700
91587645660
10645022656
1130110a083
12160025000
13a3830615
14619467cc
153b962c56
hex267243c0

645022656 has 112 divisors (see below), whose sum is σ = 1904390400. Its totient is φ = 214085376.

The previous prime is 645022627. The next prime is 645022681. The reversal of 645022656 is 656220546.

645022656 is a `hidden beast` number, since 645 + 0 + 2 + 2 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 645022656.

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, 488365 + ... + 489683.

Almost surely, 2645022656 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 645022656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952195200).

645022656 is an abundant number, since it is smaller than the sum of its proper divisors (1259367744).

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

645022656 is a wasteful number, since it uses less digits than its factorization.

645022656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 645022656 is about 25397.2962340482. The cubic root of 645022656 is about 864.0223759637.

The spelling of 645022656 in words is "six hundred forty-five million, twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 283 288 432 566 576 849 864 1132 1319 1698 1728 2264 2547 2638 3396 3957 4528 5094 5276 6792 7641 7914 9056 10188 10552 11871 13584 15282 15828 18112 20376 21104 23742 27168 30564 31656 35613 40752 42208 47484 54336 61128 63312 71226 81504 84416 94968 122256 126624 142452 163008 189936 244512 253248 284904 373277 379872 489024 569808 746554 759744 1119831 1139616 1493108 2239662 2279232 2986216 3359493 4479324 5972432 6718986 8958648 10078479 11944864 13437972 17917296 20156958 23889728 26875944 35834592 40313916 53751888 71669184 80627832 107503776 161255664 215007552 322511328 645022656