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45665532 = 2235114271
BaseRepresentation
bin1010111000110…
…0110011111100
310011221001100000
42232030303330
543142244112
64310434300
71063102443
oct256146374
9104831300
1045665532
1123860210
1213362990
1395cb533
1460c9d5a
1540207dc
hex2b8ccfc

45665532 has 72 divisors (see below), whose sum is σ = 130620672. Its totient is φ = 13834800.

The previous prime is 45665507. The next prime is 45665539. The reversal of 45665532 is 23556654.

It is a happy number.

45665532 is a `hidden beast` number, since 45 + 66 + 553 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45665539) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8557 + ... + 12827.

It is an arithmetic number, because the mean of its divisors is an integer number (1814176).

Almost surely, 245665532 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 45665532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65310336).

45665532 is an abundant number, since it is smaller than the sum of its proper divisors (84955140).

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

45665532 is a wasteful number, since it uses less digits than its factorization.

45665532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4287 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 45665532 is about 6757.6276902475. The cubic root of 45665532 is about 357.4342572313.

The spelling of 45665532 in words is "forty-five million, six hundred sixty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 4271 5346 8542 10692 12813 17084 25626 38439 46981 51252 76878 93962 115317 140943 153756 187924 230634 281886 345951 422829 461268 563772 691902 845658 1037853 1268487 1383804 1691316 2075706 2536974 3805461 4151412 5073948 7610922 11416383 15221844 22832766 45665532