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52992288 = 2532374973
BaseRepresentation
bin1100101000100…
…1100100100000
310200201021202100
43022021210200
5102031223123
65131450400
71212266316
oct312114440
9120637670
1052992288
1127a04988
12158b6a00
13ac953ab
1470760b6
1549bb643
hex3289920

52992288 has 72 divisors (see below), whose sum is σ = 154800828. Its totient is φ = 17183232.

The previous prime is 52992287. The next prime is 52992301. The reversal of 52992288 is 88229925.

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 4717584 = 6948^2 + 2172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (52992283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8170 + ... + 13142.

Almost surely, 252992288 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 52992288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77400414).

52992288 is an abundant number, since it is smaller than the sum of its proper divisors (101808540).

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

52992288 is a wasteful number, since it uses less digits than its factorization.

52992288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 5015 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 52992288 is about 7279.5802076768. The cubic root of 52992288 is about 375.6103553712.

The spelling of 52992288 in words is "fifty-two million, nine hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 4973 5328 9946 10656 14919 19892 29838 39784 44757 59676 79568 89514 119352 159136 179028 184001 238704 358056 368002 477408 552003 716112 736004 1104006 1432224 1472008 1656009 2208012 2944016 3312018 4416024 5888032 6624036 8832048 13248072 17664096 26496144 52992288