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55157652 = 223311291601
BaseRepresentation
bin1101001001101…
…0001110010100
310211210022002000
43102122032110
5103110021102
65250115300
71236555324
oct322321624
9124708060
1055157652
1129153840
121657bb30
13b572b84
14747b284
154c9801c
hex349a394

55157652 has 96 divisors (see below), whose sum is σ = 161481600. Its totient is φ = 16128000.

The previous prime is 55157651. The next prime is 55157659. The reversal of 55157652 is 25675155.

It is a happy number.

55157652 is a `hidden beast` number, since 551 + 57 + 6 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55157651) 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, 33652 + ... + 35252.

It is an arithmetic number, because the mean of its divisors is an integer number (1682100).

Almost surely, 255157652 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 55157652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80740800).

55157652 is an abundant number, since it is smaller than the sum of its proper divisors (106323948).

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

55157652 is a wasteful number, since it uses less digits than its factorization.

55157652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1646 counting only the distinct ones).

The product of its digits is 52500, while the sum is 36.

The square root of 55157652 is about 7426.8197769974. The cubic root of 55157652 is about 380.6582588812.

The spelling of 55157652 in words is "fifty-five million, one hundred fifty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1601 1914 2871 3132 3202 3828 4803 5742 6404 8613 9606 11484 14409 17226 17611 19212 28818 34452 35222 43227 46429 52833 57636 70444 86454 92858 105666 139287 158499 172908 185716 211332 278574 316998 417861 475497 510719 557148 633996 835722 950994 1021438 1253583 1532157 1671444 1901988 2042876 2507166 3064314 4596471 5014332 6128628 9192942 13789413 18385884 27578826 55157652