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55468152 = 23369511
BaseRepresentation
bin1101001110011…
…0000001111000
310212101002000000
43103212001320
5103144440102
65300513000
71242320505
oct323460170
9125332000
1055468152
1129346053
12166ab760
13b6512bc
14751c4ac
154d0a01c
hex34e6078

55468152 has 56 divisors (see below), whose sum is σ = 155949240. Its totient is φ = 18487440.

The previous prime is 55468129. The next prime is 55468169. The reversal of 55468152 is 25186455.

It is a super-3 number, since 3×554681523 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1077 + ... + 10587.

Almost surely, 255468152 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 55468152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77974620).

55468152 is an abundant number, since it is smaller than the sum of its proper divisors (100481088).

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

55468152 is an equidigital number, since it uses as much as digits as its factorization.

55468152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535 (or 9516 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 55468152 is about 7447.6944083387. The cubic root of 55468152 is about 381.3712049639.

The spelling of 55468152 in words is "fifty-five million, four hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 9511 19022 28533 38044 57066 76088 85599 114132 171198 228264 256797 342396 513594 684792 770391 1027188 1540782 2054376 2311173 3081564 4622346 6163128 6933519 9244692 13867038 18489384 27734076 55468152