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506604132 = 22342953917
BaseRepresentation
bin11110001100100…
…010101001100100
31022022021011020000
4132030202221210
52014142313012
6122134141300
715361030656
oct3614425144
91268234200
10506604132
1123aa68201
121217b1830
1380c58078
144b3d46d6
152e71eddc
hex1e322a64

506604132 has 60 divisors (see below), whose sum is σ = 1370056380. Its totient is φ = 163041984.

The previous prime is 506604107. The next prime is 506604167. The reversal of 506604132 is 231406605.

506604132 is a `hidden beast` number, since 50 + 6 + 604 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137733696 + 368870436 = 11736^2 + 19206^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 506604096 and 506604105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17563 + ... + 36354.

It is an arithmetic number, because the mean of its divisors is an integer number (22834273).

Almost surely, 2506604132 is an apocalyptic number.

It is an amenable number.

506604132 is an abundant number, since it is smaller than the sum of its proper divisors (863452248).

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

506604132 is a wasteful number, since it uses less digits than its factorization.

506604132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53962 (or 53951 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 506604132 is about 22507.8682242455. The cubic root of 506604132 is about 797.1797213020.

The spelling of 506604132 in words is "five hundred six million, six hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 53917 107834 161751 215668 323502 485253 647004 970506 1455759 1563593 1941012 2911518 3127186 4367277 4690779 5823036 6254372 8734554 9381558 14072337 17469108 18763116 28144674 42217011 56289348 84434022 126651033 168868044 253302066 506604132