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413063808 = 2732346769
BaseRepresentation
bin11000100111101…
…101101010000000
31001210020211000120
4120213231222000
51321221020213
6104553220240
713143661443
oct3047555200
91053224016
10413063808
111a2188a53
12b6401680
1367766871
143cc0565a
15263e4423
hex189eda80

413063808 has 64 divisors (see below), whose sum is σ = 1144929600. Its totient is φ = 131698688.

The previous prime is 413063803. The next prime is 413063813. The reversal of 413063808 is 808360314.

It is an interprime number because it is at equal distance from previous prime (413063803) and next prime (413063813).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (413063803) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14553 + ... + 32216.

It is an arithmetic number, because the mean of its divisors is an integer number (17889525).

Almost surely, 2413063808 is an apocalyptic number.

413063808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

413063808 is an abundant number, since it is smaller than the sum of its proper divisors (731865792).

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

413063808 is a wasteful number, since it uses less digits than its factorization.

413063808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46809 (or 46797 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 413063808 is about 20323.9712654786. The cubic root of 413063808 is about 744.7417737854.

The spelling of 413063808 in words is "four hundred thirteen million, sixty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 46769 93538 140307 187076 280614 374152 561228 748304 1075687 1122456 1496608 2151374 2244912 2993216 3227061 4302748 4489824 5986432 6454122 8605496 8979648 12908244 17210992 17959296 25816488 34421984 51632976 68843968 103265952 137687936 206531904 413063808