Search a number
-
+
54332564 = 22111343472
BaseRepresentation
bin1100111101000…
…0110010010100
310210020101021012
43033100302110
5102402120224
65220311352
71226550656
oct317206224
9123211235
1054332564
112873a950
1216242558
13b344460
1473046d6
154b8380e
hex33d0c94

54332564 has 72 divisors (see below), whose sum is σ = 116786208. Its totient is φ = 21792960.

The previous prime is 54332563. The next prime is 54332581. The reversal of 54332564 is 46523345.

It is a self number, because there is not a number n which added to its sum of digits gives 54332564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54332563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155989 + ... + 1156035.

Almost surely, 254332564 is an apocalyptic number.

It is an amenable number.

54332564 is an abundant number, since it is smaller than the sum of its proper divisors (62453644).

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

54332564 is a wasteful number, since it uses less digits than its factorization.

54332564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 116 counting only the distinct ones).

The product of its digits is 43200, while the sum is 32.

The square root of 54332564 is about 7371.0626099634. The cubic root of 54332564 is about 378.7506615534.

It can be divided in two parts, 5433 and 2564, that added together give a palindrome (7997).

The spelling of 54332564 in words is "fifty-four million, three hundred thirty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 43 44 47 52 86 94 143 172 188 286 473 517 559 572 611 946 1034 1118 1222 1892 2021 2068 2209 2236 2444 4042 4418 6149 6721 8084 8836 12298 13442 22231 24299 24596 26273 26884 28717 44462 48598 52546 57434 88924 94987 97196 105092 114868 189974 289003 315887 379948 578006 631774 1044857 1156012 1234831 1263548 2089714 2469662 4179428 4939324 13583141 27166282 54332564