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496639044 = 2232115323663
BaseRepresentation
bin11101100110100…
…001110001000100
31021121111212200200
4131212201301010
52004114422134
6121140410500
715210235146
oct3546416104
91247455620
10496639044
112353812a0
1211a3a6a30
137bb79375
1449d5cc96
152d902499
hex1d9a1c44

496639044 has 72 divisors (see below), whose sum is σ = 1395418752. Its totient is φ = 147650880.

The previous prime is 496639021. The next prime is 496639051. The reversal of 496639044 is 440936694.

It is a happy number.

496639044 is a `hidden beast` number, since 4 + 9 + 6 + 639 + 0 + 4 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 9157 + ... + 32819.

It is an arithmetic number, because the mean of its divisors is an integer number (19380816).

Almost surely, 2496639044 is an apocalyptic number.

496639044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496639044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697709376).

496639044 is an abundant number, since it is smaller than the sum of its proper divisors (898779708).

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

496639044 is a wasteful number, since it uses less digits than its factorization.

496639044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23737 (or 23732 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 496639044 is about 22285.3997944843. The cubic root of 496639044 is about 791.9181312682.

The spelling of 496639044 in words is "four hundred ninety-six million, six hundred thirty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 636 954 1166 1749 1908 2332 3498 5247 6996 10494 20988 23663 47326 70989 94652 141978 212967 260293 283956 425934 520586 780879 851868 1041172 1254139 1561758 2342637 2508278 3123516 3762417 4685274 5016556 7524834 9370548 11287251 13795529 15049668 22574502 27591058 41386587 45149004 55182116 82773174 124159761 165546348 248319522 496639044