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213946642 = 27213612753
BaseRepresentation
bin11001100000010…
…01000100010010
3112220120121121201
430300021010102
5414232243032
633121341414
75205342100
oct1460110422
9486517551
10213946642
11aa849308
125b79786a
133542b360
14205b2c70
1513bb18e7
hexcc09112

213946642 has 48 divisors (see below), whose sum is σ = 408770712. Its totient is φ = 83220480.

The previous prime is 213946619. The next prime is 213946657. The reversal of 213946642 is 246649312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 139452481 + 74494161 = 11809^2 + 8631^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76338 + ... + 79090.

Almost surely, 2213946642 is an apocalyptic number.

213946642 is a deficient number, since it is larger than the sum of its proper divisors (194824070).

213946642 is a wasteful number, since it uses less digits than its factorization.

213946642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2836 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 213946642 is about 14626.9149857378. The cubic root of 213946642 is about 598.0926859389.

The spelling of 213946642 in words is "two hundred thirteen million, nine hundred forty-six thousand, six hundred forty-two".

Divisors: 1 2 7 13 14 26 49 61 91 98 122 182 427 637 793 854 1274 1586 2753 2989 5506 5551 5978 11102 19271 35789 38542 38857 71578 77714 134897 167933 250523 269794 335866 501046 1175531 1753661 2183129 2351062 3507322 4366258 8228717 15281903 16457434 30563806 106973321 213946642