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45953136 = 2433106373
BaseRepresentation
bin1010111101001…
…1000001110000
310012110122212000
42233103001300
543231000021
64320534000
71065411105
oct257230160
9105418760
1045953136
1123a372a9
1213481300
13969c408
146162aac
15407ab26
hex2bd3070

45953136 has 40 divisors (see below), whose sum is σ = 131903760. Its totient is φ = 15317568.

The previous prime is 45953119. The next prime is 45953137. The reversal of 45953136 is 63135954.

45953136 is a `hidden beast` number, since 4 + 595 + 31 + 36 = 666.

It is a super-2 number, since 2×459531362 = 4223381416468992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45953136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45953137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52755 + ... + 53618.

It is an arithmetic number, because the mean of its divisors is an integer number (3297594).

Almost surely, 245953136 is an apocalyptic number.

It is an amenable number.

45953136 is an abundant number, since it is smaller than the sum of its proper divisors (85950624).

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

45953136 is a wasteful number, since it uses less digits than its factorization.

45953136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106390 (or 106378 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 45953136 is about 6778.8742428223. The cubic root of 45953136 is about 358.1830675284.

The spelling of 45953136 in words is "forty-five million, nine hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 106373 212746 319119 425492 638238 850984 957357 1276476 1701968 1914714 2552952 2872071 3829428 5105904 5744142 7658856 11488284 15317712 22976568 45953136