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45666216 = 23321737309
BaseRepresentation
bin1010111000110…
…0111110101000
310011221002021100
42232030332220
543142304331
64310441400
71063104441
oct256147650
9104832240
1045666216
1123860782
1213363260
1395cb93b
1460ca2c8
154020ae6
hex2b8cfa8

45666216 has 48 divisors (see below), whose sum is σ = 130958100. Its totient is φ = 14326272.

The previous prime is 45666211. The next prime is 45666221. The reversal of 45666216 is 61266654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45666211) and next prime (45666221).

It can be written as a sum of positive squares in 2 ways, for example, as 44756100 + 910116 = 6690^2 + 954^2 .

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 (45666211) 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, 17431 + ... + 19878.

Almost surely, 245666216 is an apocalyptic number.

It is an amenable number.

45666216 is an abundant number, since it is smaller than the sum of its proper divisors (85291884).

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

45666216 is a wasteful number, since it uses less digits than its factorization.

45666216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37338 (or 37331 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 45666216 is about 6757.6782995345. The cubic root of 45666216 is about 357.4360418290.

The spelling of 45666216 in words is "forty-five million, six hundred sixty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 37309 74618 111927 149236 223854 298472 335781 447708 634253 671562 895416 1268506 1343124 1902759 2537012 2686248 3805518 5074024 5708277 7611036 11416554 15222072 22833108 45666216