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412813107 = 32737409433
BaseRepresentation
bin11000100110110…
…000011100110011
31001202210002010100
4120212300130303
51321140004412
6104544003443
713141565520
oct3046603463
91052702110
10412813107
111a2027663
12b6300583
13676a9715
143cb7c147
1526394edc
hex189b0733

412813107 has 48 divisors (see below), whose sum is σ = 703218880. Its totient is φ = 228427776.

The previous prime is 412813097. The next prime is 412813109. The reversal of 412813107 is 701318214.

It is not a de Polignac number, because 412813107 - 216 = 412747571 is a prime.

It is a super-2 number, since 2×4128131072 = 340829322621986898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412813109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953163 + ... + 953595.

Almost surely, 2412813107 is an apocalyptic number.

412813107 is a deficient number, since it is larger than the sum of its proper divisors (290405773).

412813107 is a wasteful number, since it uses less digits than its factorization.

412813107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 412813107 is about 20317.8027109232. The cubic root of 412813107 is about 744.5910744750.

The spelling of 412813107 in words is "four hundred twelve million, eight hundred thirteen thousand, one hundred seven".

Divisors: 1 3 7 9 21 37 63 111 259 333 409 433 777 1227 1299 2331 2863 3031 3681 3897 8589 9093 15133 16021 25767 27279 45399 48063 105931 112147 136197 144189 177097 317793 336441 531291 953379 1009323 1239679 1593873 3719037 6552589 11157111 19657767 45868123 58973301 137604369 412813107