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655557056 = 26711137971
BaseRepresentation
bin100111000100110…
…000000111000000
31200200112202012222
4213010300013000
52320310311211
6145014510212
722150100030
oct4704600700
91620482188
10655557056
113070547a0
12163665368
13a5a7b4ab
14630c98c0
153c8441db
hex271301c0

655557056 has 112 divisors (see below), whose sum is σ = 1635386112. Its totient is φ = 253286400.

The previous prime is 655557047. The next prime is 655557113. The reversal of 655557056 is 650755556.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 655556998 and 655557016.

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, 674651 + ... + 675621.

Almost surely, 2655557056 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 655557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817693056).

655557056 is an abundant number, since it is smaller than the sum of its proper divisors (979829056).

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

655557056 is a wasteful number, since it uses less digits than its factorization.

655557056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 44.

The square root of 655557056 is about 25603.8484607295. The cubic root of 655557056 is about 868.7006878761.

The spelling of 655557056 in words is "six hundred fifty-five million, five hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 137 154 176 224 274 308 352 448 548 616 704 959 971 1096 1232 1507 1918 1942 2192 2464 3014 3836 3884 4384 4928 6028 6797 7672 7768 8768 10549 10681 12056 13594 15344 15536 21098 21362 24112 27188 30688 31072 42196 42724 48224 54376 61376 62144 74767 84392 85448 96448 108752 133027 149534 168784 170896 217504 266054 299068 337568 341792 435008 532108 598136 675136 683584 931189 1064216 1196272 1463297 1862378 2128432 2392544 2926594 3724756 4256864 4785088 5853188 7449512 8513728 10243079 11706376 14899024 20486158 23412752 29798048 40972316 46825504 59596096 81944632 93651008 163889264 327778528 655557056