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413683504 = 241319104677
BaseRepresentation
bin11000101010000…
…100111100110000
31001211102022002021
4120222010330300
51321400333004
6105014401224
713152152233
oct3052047460
91054368067
10413683504
111a25715a3
12b6660214
1367922950
143cd2741a
15264b7d54
hex18a84f30

413683504 has 40 divisors (see below), whose sum is σ = 908605040. Its totient is φ = 180880128.

The previous prime is 413683471. The next prime is 413683541. The reversal of 413683504 is 405386314.

It is a happy number.

It is a super-2 number, since 2×4136835042 = 342268082963436032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413683504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48387 + ... + 56290.

It is an arithmetic number, because the mean of its divisors is an integer number (22715126).

Almost surely, 2413683504 is an apocalyptic number.

It is an amenable number.

413683504 is an abundant number, since it is smaller than the sum of its proper divisors (494921536).

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

413683504 is a wasteful number, since it uses less digits than its factorization.

413683504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104717 (or 104711 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 413683504 is about 20339.2109974797. The cubic root of 413683504 is about 745.1140188537.

The spelling of 413683504 in words is "four hundred thirteen million, six hundred eighty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 104677 209354 418708 837416 1360801 1674832 1988863 2721602 3977726 5443204 7955452 10886408 15910904 21772816 25855219 31821808 51710438 103420876 206841752 413683504