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45712836 = 22341310853
BaseRepresentation
bin1010111001100…
…0010111000100
310012000110020000
42232120113010
543200302321
64311441300
71063360401
oct256302704
9105013200
1045712836
1123892804
1213386230
139616c20
1460dd2a8
15402e826
hex2b985c4

45712836 has 60 divisors (see below), whose sum is σ = 128706732. Its totient is φ = 14064192.

The previous prime is 45712801. The next prime is 45712837. The reversal of 45712836 is 63821754.

45712836 is a `hidden beast` number, since 4 + 571 + 2 + 83 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14976900 + 30735936 = 3870^2 + 5544^2 .

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 45712836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45712837) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1215 + ... + 9638.

Almost surely, 245712836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45712836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64353366).

45712836 is an abundant number, since it is smaller than the sum of its proper divisors (82993896).

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

45712836 is a wasteful number, since it uses less digits than its factorization.

45712836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10871 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 45712836 is about 6761.1268291609. The cubic root of 45712836 is about 357.5576342766.

The spelling of 45712836 in words is "forty-five million, seven hundred twelve thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 10853 21706 32559 43412 65118 97677 130236 141089 195354 282178 293031 390708 423267 564356 586062 846534 879093 1172124 1269801 1693068 1758186 2539602 3516372 3809403 5079204 7618806 11428209 15237612 22856418 45712836