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496420524 = 2232192932477
BaseRepresentation
bin11101100101101…
…100011010101100
31021121002202221100
4131211230122230
52004040424044
6121132003100
715205335105
oct3545543254
91247082840
10496420524
112352420a6
1211a300490
137bb00a72
1449d033ac
152d8ac869
hex1d96c6ac

496420524 has 72 divisors (see below), whose sum is σ = 1325928240. Its totient is φ = 156166272.

The previous prime is 496420481. The next prime is 496420541. The reversal of 496420524 is 425024694.

496420524 is a `hidden beast` number, since 4 + 9 + 642 + 0 + 5 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199174 + ... + 201650.

It is an arithmetic number, because the mean of its divisors is an integer number (18415670).

Almost surely, 2496420524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496420524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662964120).

496420524 is an abundant number, since it is smaller than the sum of its proper divisors (829507716).

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

496420524 is a wasteful number, since it uses less digits than its factorization.

496420524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 496420524 is about 22280.4964935703. The cubic root of 496420524 is about 791.8019668634.

The spelling of 496420524 in words is "four hundred ninety-six million, four hundred twenty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 293 342 586 684 879 1172 1758 2477 2637 3516 4954 5274 5567 7431 9908 10548 11134 14862 16701 22268 22293 29724 33402 44586 47063 50103 66804 89172 94126 100206 141189 188252 200412 282378 423567 564756 725761 847134 1451522 1694268 2177283 2903044 4354566 6531849 8709132 13063698 13789459 26127396 27578918 41368377 55157836 82736754 124105131 165473508 248210262 496420524