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45874431 = 346779107
BaseRepresentation
bin1010111011111…
…1110011111111
310012022122220000
42232333303333
543220440211
64315125343
71064632461
oct256776377
9105278800
1045874431
1123993159
1213443853
139672645
146142131
154062656
hex2bbfcff

45874431 has 40 divisors (see below), whose sum is σ = 71089920. Its totient is φ = 29467152.

The previous prime is 45874391. The next prime is 45874459. The reversal of 45874431 is 13447854.

45874431 is a `hidden beast` number, since 4 + 587 + 44 + 31 = 666.

It is not a de Polignac number, because 45874431 - 210 = 45873407 is a prime.

It is a super-2 number, since 2×458744312 = 4208926839147522, which contains 22 as substring.

Its product of digits (53760) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45874471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 428680 + ... + 428786.

It is an arithmetic number, because the mean of its divisors is an integer number (1777248).

Almost surely, 245874431 is an apocalyptic number.

45874431 is a deficient number, since it is larger than the sum of its proper divisors (25215489).

45874431 is a wasteful number, since it uses less digits than its factorization.

45874431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 45874431 is about 6773.0665875953. The cubic root of 45874431 is about 357.9784611949.

The spelling of 45874431 in words is "forty-five million, eight hundred seventy-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 67 79 81 107 201 237 321 603 711 963 1809 2133 2889 5293 5427 6399 7169 8453 8667 15879 21507 25359 47637 64521 76077 142911 193563 228231 428733 566351 580689 684693 1699053 5097159 15291477 45874431