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55080864 = 2533371723
BaseRepresentation
bin1101001000011…
…1011110100000
310211122101202000
43102013132200
5103100041424
65244324000
71236115416
oct322073640
9124571660
1055080864
1129101083
1216543600
13b546c37
14745b2b6
154c803c9
hex34877a0

55080864 has 96 divisors (see below), whose sum is σ = 165090240. Its totient is φ = 17853696.

The previous prime is 55080863. The next prime is 55080881. The reversal of 55080864 is 46808055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (55080863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31107 + ... + 32829.

It is an arithmetic number, because the mean of its divisors is an integer number (1719690).

Almost surely, 255080864 is an apocalyptic number.

55080864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82545120).

55080864 is an abundant number, since it is smaller than the sum of its proper divisors (110009376).

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

55080864 is a wasteful number, since it uses less digits than its factorization.

55080864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 55080864 is about 7421.6483344335. The cubic root of 55080864 is about 380.4815317482.

The spelling of 55080864 in words is "fifty-five million, eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1723 1776 1998 2664 3446 3552 3996 5169 5328 6892 7992 10338 10656 13784 15507 15984 20676 27568 31014 31968 41352 46521 55136 62028 63751 82704 93042 124056 127502 165408 186084 191253 248112 255004 372168 382506 496224 510008 573759 744336 765012 1020016 1147518 1488672 1530024 1721277 2040032 2295036 3060048 3442554 4590072 6120096 6885108 9180144 13770216 18360288 27540432 55080864