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45947968 = 261165267
BaseRepresentation
bin1010111101000…
…1110001000000
310012110101202121
42233101301000
543230313333
64320454024
71065360043
oct257216100
9105411677
1045947968
1123a33430
121347a314
139699c61
146160c5a
15407932d
hex2bd1c40

45947968 has 28 divisors (see below), whose sum is σ = 99468432. Its totient is φ = 20885120.

The previous prime is 45947953. The next prime is 45948011. The reversal of 45947968 is 86974954.

It is a happy number.

It is a super-2 number, since 2×459479682 = 4222431526658048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31930 + ... + 33337.

It is an arithmetic number, because the mean of its divisors is an integer number (3552444).

Almost surely, 245947968 is an apocalyptic number.

It is an amenable number.

45947968 is an abundant number, since it is smaller than the sum of its proper divisors (53520464).

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

45947968 is a wasteful number, since it uses less digits than its factorization.

45947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65290 (or 65280 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 45947968 is about 6778.4930478684. The cubic root of 45947968 is about 358.1696396491.

The spelling of 45947968 in words is "forty-five million, nine hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 65267 130534 261068 522136 717937 1044272 1435874 2088544 2871748 4177088 5743496 11486992 22973984 45947968