Search a number
-
+
52545888 = 253361997
BaseRepresentation
bin1100100001110…
…0100101100000
310122212121102000
43020130211200
5101422432023
65114124000
71205430003
oct310344540
9118777360
1052545888
112772a55a
1215720600
13ab6a155
146d9b53a
15492e243
hex321c960

52545888 has 96 divisors (see below), whose sum is σ = 155927520. Its totient is φ = 17210880.

The previous prime is 52545877. The next prime is 52545901. The reversal of 52545888 is 88854525.

52545888 is a `hidden beast` number, since 525 + 45 + 8 + 88 = 666.

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

It is a super-2 number, since 2×525458882 = 5522140691417088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52206 + ... + 53202.

It is an arithmetic number, because the mean of its divisors is an integer number (1624245).

Almost surely, 252545888 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 52545888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77963760).

52545888 is an abundant number, since it is smaller than the sum of its proper divisors (103381632).

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

52545888 is a wasteful number, since it uses less digits than its factorization.

52545888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1063 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The square root of 52545888 is about 7248.8542542943. The cubic root of 52545888 is about 374.5526826313.

The spelling of 52545888 in words is "fifty-two million, five hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 997 1098 1464 1647 1952 1994 2196 2928 2991 3294 3988 4392 5856 5982 6588 7976 8784 8973 11964 13176 15952 17568 17946 23928 26352 26919 31904 35892 47856 52704 53838 60817 71784 95712 107676 121634 143568 182451 215352 243268 287136 364902 430704 486536 547353 729804 861408 973072 1094706 1459608 1642059 1946144 2189412 2919216 3284118 4378824 5838432 6568236 8757648 13136472 17515296 26272944 52545888