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496671264 = 2534892153
BaseRepresentation
bin11101100110101…
…001101000100000
31021121120111220000
4131212221220200
52004121440024
6121141220000
715210431115
oct3546515040
91247514800
10496671264
112353a3521
1211a401600
137bb8ac2b
1449d6a90c
152d90bcc9
hex1d9a9a20

496671264 has 120 divisors (see below), whose sum is σ = 1477794780. Its totient is φ = 163620864.

The previous prime is 496671257. The next prime is 496671299. The reversal of 496671264 is 462176694.

It can be written as a sum of positive squares in 2 ways, for example, as 413715600 + 82955664 = 20340^2 + 9108^2 .

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, 229612 + ... + 231764.

Almost surely, 2496671264 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 496671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738897390).

496671264 is an abundant number, since it is smaller than the sum of its proper divisors (981123516).

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

496671264 is a wasteful number, since it uses less digits than its factorization.

496671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2247 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 496671264 is about 22286.1226775767. The cubic root of 496671264 is about 791.9352564155.

The spelling of 496671264 in words is "four hundred ninety-six million, six hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 89 96 108 144 162 178 216 267 288 324 356 432 534 648 712 801 864 1068 1296 1424 1602 2136 2153 2403 2592 2848 3204 4272 4306 4806 6408 6459 7209 8544 8612 9612 12816 12918 14418 17224 19224 19377 25632 25836 28836 34448 38448 38754 51672 57672 58131 68896 76896 77508 103344 115344 116262 155016 174393 191617 206688 230688 232524 310032 348786 383234 465048 574851 620064 697572 766468 930096 1149702 1395144 1532936 1724553 1860192 2299404 2790288 3065872 3449106 4598808 5173659 5580576 6131744 6898212 9197616 10347318 13796424 15520977 18395232 20694636 27592848 31041954 41389272 55185696 62083908 82778544 124167816 165557088 248335632 496671264