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52495360 = 210510253
BaseRepresentation
bin1100100001000…
…0010000000000
310122210001002121
43020100100000
5101414322420
65113054024
71205126461
oct310202000
9118701077
1052495360
11276a55a5
12156b7314
13ab50158
146d86d68
15491e2aa
hex3210400

52495360 has 44 divisors (see below), whose sum is σ = 125939628. Its totient is φ = 20996096.

The previous prime is 52495357. The next prime is 52495363. The reversal of 52495360 is 6359425.

It is an interprime number because it is at equal distance from previous prime (52495357) and next prime (52495363).

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 40551424 = 3456^2 + 6368^2 .

It is not an unprimeable number, because it can be changed into a prime (52495363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 10246.

Almost surely, 252495360 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 52495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62969814).

52495360 is an abundant number, since it is smaller than the sum of its proper divisors (73444268).

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

52495360 is a wasteful number, since it uses less digits than its factorization.

52495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10278 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 52495360 is about 7245.3681756002. The cubic root of 52495360 is about 374.4325878080.

It can be divided in two parts, 5249 and 5360, that added together give a square (10609 = 1032).

The spelling of 52495360 in words is "fifty-two million, four hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 10253 20506 41012 51265 82024 102530 164048 205060 328096 410120 656192 820240 1312384 1640480 2624768 3280960 5249536 6561920 10499072 13123840 26247680 52495360