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45988928 = 263719421
BaseRepresentation
bin1010111101101…
…1110001000000
310012112110221122
42233123301000
543233121203
64321411412
71065620336
oct257336100
9105473848
1045988928
1123a61187
1213499b68
1396b27ab
146171b56
154086538
hex2bdbc40

45988928 has 28 divisors (see below), whose sum is σ = 93730572. Its totient is φ = 22371840.

The previous prime is 45988909. The next prime is 45988931. The reversal of 45988928 is 82988954.

45988928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43454464 + 2534464 = 6592^2 + 1592^2 .

It is a super-2 number, since 2×459889282 = 4229962997178368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45988928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7343 + ... + 12078.

Almost surely, 245988928 is an apocalyptic number.

It is an amenable number.

45988928 is an abundant number, since it is smaller than the sum of its proper divisors (47741644).

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

45988928 is a wasteful number, since it uses less digits than its factorization.

45988928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19470 (or 19460 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 53.

The square root of 45988928 is about 6781.5136953338. The cubic root of 45988928 is about 358.2760373267.

The spelling of 45988928 in words is "forty-five million, nine hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 19421 38842 77684 155368 310736 621472 718577 1242944 1437154 2874308 5748616 11497232 22994464 45988928