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52584264 = 23321742961
BaseRepresentation
bin1100100010010…
…1111101001000
310122221120001100
43020211331020
5101430144024
65115021400
71205646615
oct310457510
9118846040
1052584264
1127756377
121573a860
13ab81765
146dab50c
15493a7c9
hex3225f48

52584264 has 48 divisors (see below), whose sum is σ = 150796620. Its totient is φ = 16496640.

The previous prime is 52584251. The next prime is 52584283. The reversal of 52584264 is 46248525.

It is a happy number.

52584264 is a `hidden beast` number, since 52 + 584 + 26 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52272900 + 311364 = 7230^2 + 558^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20257 + ... + 22704.

Almost surely, 252584264 is an apocalyptic number.

It is an amenable number.

52584264 is an abundant number, since it is smaller than the sum of its proper divisors (98212356).

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

52584264 is a wasteful number, since it uses less digits than its factorization.

52584264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42990 (or 42983 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 52584264 is about 7251.5008101772. The cubic root of 52584264 is about 374.6438431799.

The spelling of 52584264 in words is "fifty-two million, five hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 42961 85922 128883 171844 257766 343688 386649 515532 730337 773298 1031064 1460674 1546596 2191011 2921348 3093192 4382022 5842696 6573033 8764044 13146066 17528088 26292132 52584264