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413760816 = 24327410477
BaseRepresentation
bin11000101010010…
…111110100110000
31001211120020010200
4120222113310300
51321410321231
6105020155200
713152623520
oct3052276460
91054506120
10413760816
111a2614697
12b6698b00
136794bbb1
143cd47680
15264d0be6
hex18a97d30

413760816 has 60 divisors (see below), whose sum is σ = 1323381072. Its totient is φ = 118217088.

The previous prime is 413760811. The next prime is 413760847. The reversal of 413760816 is 618067314.

413760816 is a `hidden beast` number, since 4 + 1 + 37 + 608 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (413760811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204231 + ... + 206246.

Almost surely, 2413760816 is an apocalyptic number.

It is an amenable number.

413760816 is an abundant number, since it is smaller than the sum of its proper divisors (909620256).

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

413760816 is a wasteful number, since it uses less digits than its factorization.

413760816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410498 (or 410489 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 413760816 is about 20341.1114740567. Note that the first 3 decimals coincide. The cubic root of 413760816 is about 745.1604332955.

The spelling of 413760816 in words is "four hundred thirteen million, seven hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 410477 820954 1231431 1641908 2462862 2873339 3283816 3694293 4925724 5746678 6567632 7388586 8620017 9851448 11493356 14777172 17240034 19702896 22986712 25860051 29554344 34480068 45973424 51720102 59108688 68960136 103440204 137920272 206880408 413760816