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642519136 = 2577339293
BaseRepresentation
bin100110010011000…
…001000001100000
31122210000100120001
4212103001001200
52303441103021
6143431225344
721631215430
oct4623010140
91583010501
10642519136
112aa75a156
1215b218254
13a3164c4c
14614942c0
153b61b091
hex264c1060

642519136 has 48 divisors (see below), whose sum is σ = 1465509024. Its totient is φ = 271586304.

The previous prime is 642519133. The next prime is 642519151. The reversal of 642519136 is 631915246.

It is a junction number, because it is equal to n+sod(n) for n = 642519095 and 642519104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642519133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3295 + ... + 35998.

It is an arithmetic number, because the mean of its divisors is an integer number (30531438).

Almost surely, 2642519136 is an apocalyptic number.

It is an amenable number.

642519136 is an abundant number, since it is smaller than the sum of its proper divisors (822989888).

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

642519136 is a wasteful number, since it uses less digits than its factorization.

642519136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39383 (or 39375 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 642519136 is about 25347.9611803395. The cubic root of 642519136 is about 862.9030861400.

The spelling of 642519136 in words is "six hundred forty-two million, five hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 16352 39293 78586 157172 275051 314344 550102 628688 1100204 1257376 2200408 2868389 4400816 5736778 8801632 11473556 20078723 22947112 40157446 45894224 80314892 91788448 160629784 321259568 642519136