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55315656 = 23331131751
BaseRepresentation
bin1101001100000…
…0110011001000
310212002022211000
43103000303020
5103130100111
65253335000
71241114064
oct323006310
9125068730
1055315656
1129251520
1216637460
13b5c9a76
1474bcaa4
154cc9c56
hex34c0cc8

55315656 has 128 divisors (see below), whose sum is σ = 173260800. Its totient is φ = 16200000.

The previous prime is 55315651. The next prime is 55315657. The reversal of 55315656 is 65651355.

55315656 is a `hidden beast` number, since 553 + 1 + 56 + 56 = 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 55315656.

It is not an unprimeable number, because it can be changed into a prime (55315651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73281 + ... + 74031.

It is an arithmetic number, because the mean of its divisors is an integer number (1353600).

Almost surely, 255315656 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 55315656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86630400).

55315656 is an abundant number, since it is smaller than the sum of its proper divisors (117945144).

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

55315656 is a wasteful number, since it uses less digits than its factorization.

55315656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 798 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The square root of 55315656 is about 7437.4495628542. The cubic root of 55315656 is about 381.0213888420.

The spelling of 55315656 in words is "fifty-five million, three hundred fifteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 751 792 837 1023 1116 1188 1364 1502 1674 2046 2232 2253 2376 2728 3004 3069 3348 4092 4506 6008 6138 6696 6759 8184 8261 9012 9207 12276 13518 16522 18024 18414 20277 23281 24552 24783 27036 33044 36828 40554 46562 49566 54072 66088 69843 73656 74349 81108 93124 99132 139686 148698 162216 186248 198264 209529 223047 256091 279372 297396 419058 446094 512182 558744 594792 628587 768273 838116 892188 1024364 1257174 1536546 1676232 1784376 2048728 2304819 2514348 3073092 4609638 5028696 6146184 6914457 9219276 13828914 18438552 27657828 55315656