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412887680 = 275645137
BaseRepresentation
bin11000100111000…
…010101010000000
31001202220212102022
4120213002222000
51321144401210
6104545341012
713142326112
oct3047025200
91052825368
10412887680
111a2078697
12b6337768
136770464a
143cb9b3b2
15263ac155
hex189c2a80

412887680 has 32 divisors (see below), whose sum is σ = 987061140. Its totient is φ = 165154816.

The previous prime is 412887647. The next prime is 412887691. The reversal of 412887680 is 86788214.

It can be written as a sum of positive squares in 2 ways, for example, as 370793536 + 42094144 = 19256^2 + 6488^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 321929 + ... + 323208.

Almost surely, 2412887680 is an apocalyptic number.

412887680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412887680 is an abundant number, since it is smaller than the sum of its proper divisors (574173460).

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

412887680 is an equidigital number, since it uses as much as digits as its factorization.

412887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645156 (or 645144 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 412887680 is about 20319.6377920474. The cubic root of 412887680 is about 744.6359075533.

The spelling of 412887680 in words is "four hundred twelve million, eight hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 645137 1290274 2580548 3225685 5161096 6451370 10322192 12902740 20644384 25805480 41288768 51610960 82577536 103221920 206443840 412887680