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490462656 = 26319314337
BaseRepresentation
bin11101001110111…
…101110111000000
31021011220002021120
4131032331313000
52001024301111
6120400152240
715103602165
oct3516756700
91234802246
10490462656
11231942942
12118308680
137a7c5cb8
14491d206c
152d0d2406
hex1d3bddc0

490462656 has 112 divisors (see below), whose sum is σ = 1410370560. Its totient is φ = 149852160.

The previous prime is 490462633. The next prime is 490462663. The reversal of 490462656 is 656264094.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110920 + ... + 115256.

Almost surely, 2490462656 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 490462656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705185280).

490462656 is an abundant number, since it is smaller than the sum of its proper divisors (919907904).

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

490462656 is a wasteful number, since it uses less digits than its factorization.

490462656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 490462656 is about 22146.3914893601. The cubic root of 490462656 is about 788.6215646102.

The spelling of 490462656 in words is "four hundred ninety million, four hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 304 372 456 496 589 608 744 912 992 1178 1216 1488 1767 1824 1984 2356 2976 3534 3648 4337 4712 5952 7068 8674 9424 13011 14136 17348 18848 26022 28272 34696 37696 52044 56544 69392 82403 104088 113088 134447 138784 164806 208176 247209 268894 277568 329612 403341 416352 494418 537788 659224 806682 832704 988836 1075576 1318448 1613364 1977672 2151152 2554493 2636896 3226728 3955344 4302304 5108986 5273792 6453456 7663479 7910688 8604608 10217972 12906912 15326958 15821376 20435944 25813824 30653916 40871888 61307832 81743776 122615664 163487552 245231328 490462656