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52622496 = 2532892053
BaseRepresentation
bin1100100010111…
…1010010100000
310200000111111100
43020233102200
5101432404441
65115514400
71206166233
oct310572240
9120014440
1052622496
1127782073
1215758a00
13ab95c94
146dbb41a
154946cb6
hex322f4a0

52622496 has 72 divisors (see below), whose sum is σ = 151400340. Its totient is φ = 17335296.

The previous prime is 52622489. The next prime is 52622527. The reversal of 52622496 is 69422625.

It can be written as a sum of positive squares in 2 ways, for example, as 51322896 + 1299600 = 7164^2 + 1140^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 52622496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24606 + ... + 26658.

Almost surely, 252622496 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 52622496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75700170).

52622496 is an abundant number, since it is smaller than the sum of its proper divisors (98777844).

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

52622496 is a wasteful number, since it uses less digits than its factorization.

52622496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2147 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 52622496 is about 7254.1364751430. The cubic root of 52622496 is about 374.7346175701.

The spelling of 52622496 in words is "fifty-two million, six hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2053 2136 2848 3204 4106 4272 6159 6408 8212 8544 12318 12816 16424 18477 24636 25632 32848 36954 49272 65696 73908 98544 147816 182717 197088 295632 365434 548151 591264 730868 1096302 1461736 1644453 2192604 2923472 3288906 4385208 5846944 6577812 8770416 13155624 17540832 26311248 52622496