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412372640 = 2552577329
BaseRepresentation
bin11000100101000…
…100111010100000
31001201221200220202
4120211010322200
51321031411030
6104530324332
713135052411
oct3045047240
91051850822
10412372640
111a1856739
12b61296a8
13675840a4
143caa5808
1526309745
hex18944ea0

412372640 has 24 divisors (see below), whose sum is σ = 974230740. Its totient is φ = 164948992.

The previous prime is 412372613. The next prime is 412372643. The reversal of 412372640 is 46273214.

It can be written as a sum of positive squares in 2 ways, for example, as 354794896 + 57577744 = 18836^2 + 7588^2 .

It is not an unprimeable number, because it can be changed into a prime (412372643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1288505 + ... + 1288824.

Almost surely, 2412372640 is an apocalyptic number.

412372640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412372640 is an abundant number, since it is smaller than the sum of its proper divisors (561858100).

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

412372640 is a wasteful number, since it uses less digits than its factorization.

412372640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577344 (or 2577336 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 412372640 is about 20306.9603830805. The cubic root of 412372640 is about 744.3261567625.

The spelling of 412372640 in words is "four hundred twelve million, three hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2577329 5154658 10309316 12886645 20618632 25773290 41237264 51546580 82474528 103093160 206186320 412372640