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45952956 = 22327182353
BaseRepresentation
bin1010111101001…
…0111110111100
310012110122121100
42233102332330
543230443311
64320533100
71065410430
oct257227674
9105418540
1045952956
1123a37155
1213481190
13969c2ca
1461629c0
15407aa56
hex2bd2fbc

45952956 has 36 divisors (see below), whose sum is σ = 132753712. Its totient is φ = 13129344.

The previous prime is 45952913. The next prime is 45952993. The reversal of 45952956 is 65925954.

It is a happy number.

45952956 is a `hidden beast` number, since 4 + 595 + 2 + 9 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×459529562 = 4223348330275872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90925 + ... + 91428.

Almost surely, 245952956 is an apocalyptic number.

It is an amenable number.

45952956 is an abundant number, since it is smaller than the sum of its proper divisors (86800756).

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

45952956 is a wasteful number, since it uses less digits than its factorization.

45952956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182370 (or 182365 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 45952956 is about 6778.8609662686. The cubic root of 45952956 is about 358.1825998560.

The spelling of 45952956 in words is "forty-five million, nine hundred fifty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 182353 364706 547059 729412 1094118 1276471 1641177 2188236 2552942 3282354 3829413 5105884 6564708 7658826 11488239 15317652 22976478 45952956