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496480896 = 2732631683
BaseRepresentation
bin11101100101111…
…011001010000000
31021121012211202100
4131211323022000
52004044342041
6121133150400
715206006112
oct3545731200
91247184670
10496480896
1123528349a
1211a32b400
137bb223a2
1449d1b3b2
152d8c06b6
hex1d97b280

496480896 has 96 divisors (see below), whose sum is σ = 1433034720. Its totient is φ = 164989440.

The previous prime is 496480883. The next prime is 496480927. The reversal of 496480896 is 698084694.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726571 + ... + 727253.

It is an arithmetic number, because the mean of its divisors is an integer number (14927445).

Almost surely, 2496480896 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 496480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716517360).

496480896 is an abundant number, since it is smaller than the sum of its proper divisors (936553824).

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

496480896 is a wasteful number, since it uses less digits than its factorization.

496480896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 496480896 is about 22281.8512695871. The cubic root of 496480896 is about 791.8340637976.

The spelling of 496480896 in words is "four hundred ninety-six million, four hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 631 683 1152 1262 1366 1893 2049 2524 2732 3786 4098 5048 5464 5679 6147 7572 8196 10096 10928 11358 12294 15144 16392 20192 21856 22716 24588 30288 32784 40384 43712 45432 49176 60576 65568 80768 87424 90864 98352 121152 131136 181728 196704 242304 262272 363456 393408 430973 726912 786816 861946 1292919 1723892 2585838 3447784 3878757 5171676 6895568 7757514 10343352 13791136 15515028 20686704 27582272 31030056 41373408 55164544 62060112 82746816 124120224 165493632 248240448 496480896