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55018964 = 227211132151
BaseRepresentation
bin1101000111100…
…0010111010100
310211112020211102
43101320113110
5103041101324
65243125232
71235440100
oct321702724
9124466742
1055018964
1129069620
1216513818
13b524a00
147442900
154c6bdae
hex34785d4

55018964 has 108 divisors (see below), whose sum is σ = 133183008. Its totient is φ = 19656000.

The previous prime is 55018961. The next prime is 55019009. The reversal of 55018964 is 46981055.

55018964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55018961) 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 35 ways as a sum of consecutive naturals, for example, 364289 + ... + 364439.

It is an arithmetic number, because the mean of its divisors is an integer number (1233176).

Almost surely, 255018964 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 55018964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66591504).

55018964 is an abundant number, since it is smaller than the sum of its proper divisors (78164044).

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

55018964 is a wasteful number, since it uses less digits than its factorization.

55018964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 55018964 is about 7417.4769295226. The cubic root of 55018964 is about 380.3389496538.

The spelling of 55018964 in words is "fifty-five million, eighteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 151 154 169 182 196 286 302 308 338 364 539 572 604 637 676 1001 1057 1078 1183 1274 1661 1859 1963 2002 2114 2156 2366 2548 3322 3718 3926 4004 4228 4732 6644 7007 7399 7436 7852 8281 11627 13013 13741 14014 14798 16562 21593 23254 25519 26026 27482 28028 29596 33124 43186 46508 51038 52052 54964 81389 86372 91091 96187 102076 151151 162778 178633 182182 192374 280709 302302 325556 357266 364364 384748 561418 604604 714532 1058057 1122836 1250431 1964963 2116114 2500862 3929926 4232228 5001724 7859852 13754741 27509482 55018964