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642132504 = 233213686039
BaseRepresentation
bin100110010001100…
…010101000011000
31122202021201012100
4212101202220120
52303341220004
6143415043400
721625015266
oct4621425030
91582251170
10642132504
112aa515722
1215b070560
13a305ac80
14613d3436
153b591739
hex26462a18

642132504 has 48 divisors (see below), whose sum is σ = 1872889200. Its totient is φ = 197578944.

The previous prime is 642132497. The next prime is 642132511. The reversal of 642132504 is 405231246.

642132504 is a `hidden beast` number, since 642 + 13 + 2 + 5 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (642132497) and next prime (642132511).

It is a congruent number.

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, 342084 + ... + 343955.

It is an arithmetic number, because the mean of its divisors is an integer number (39018525).

Almost surely, 2642132504 is an apocalyptic number.

It is an amenable number.

642132504 is an abundant number, since it is smaller than the sum of its proper divisors (1230756696).

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

642132504 is a wasteful number, since it uses less digits than its factorization.

642132504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686064 (or 686057 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 642132504 is about 25340.3335416091. Note that the first 3 decimals coincide. The cubic root of 642132504 is about 862.7299691755.

The spelling of 642132504 in words is "six hundred forty-two million, one hundred thirty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 686039 1372078 2058117 2744156 4116234 5488312 6174351 8232468 8918507 12348702 16464936 17837014 24697404 26755521 35674028 49394808 53511042 71348056 80266563 107022084 160533126 214044168 321066252 642132504