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55138032 = 2432715393
BaseRepresentation
bin1101001001010…
…1011011110000
310211202022011100
43102111123300
5103103404112
65245444400
71236444165
oct322253360
9124668140
1055138032
1129140024
1216570700
13b566c71
14747406c
154c922dc
hex34956f0

55138032 has 60 divisors (see below), whose sum is σ = 156512304. Its totient is φ = 18117120.

The previous prime is 55137991. The next prime is 55138033. The reversal of 55138032 is 23083155.

55138032 is a `hidden beast` number, since 551 + 3 + 80 + 32 = 666.

55138032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55137987 and 55138005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55138033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7528 + ... + 12920.

Almost surely, 255138032 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 55138032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78256152).

55138032 is an abundant number, since it is smaller than the sum of its proper divisors (101374272).

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

55138032 is a wasteful number, since it uses less digits than its factorization.

55138032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55138032 is about 7425.4987711264. The cubic root of 55138032 is about 380.6131191742.

It can be divided in two parts, 551 and 38032, that added together give a palindrome (38583).

The spelling of 55138032 in words is "fifty-five million, one hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 5393 10224 10786 16179 21572 32358 43144 48537 64716 86288 97074 129432 194148 258864 382903 388296 765806 776592 1148709 1531612 2297418 3063224 3446127 4594836 6126448 6892254 9189672 13784508 18379344 27569016 55138032