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45008652 = 223133141227
BaseRepresentation
bin1010101110110…
…0011100001100
310010200200021010
42223230130030
543010234102
64244405220
71054365363
oct253543414
9103620233
1045008652
1123451737
12130a6810
13942b550
145d987da
153e40d6c
hex2aec70c

45008652 has 96 divisors (see below), whose sum is σ = 120121344. Its totient is φ = 13017600.

The previous prime is 45008651. The next prime is 45008653. The reversal of 45008652 is 25680054.

45008652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45008651) and next prime (45008653).

It is not an unprimeable number, because it can be changed into a prime (45008651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 198163 + ... + 198389.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 245008652 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 45008652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060672).

45008652 is an abundant number, since it is smaller than the sum of its proper divisors (75112692).

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

45008652 is a wasteful number, since it uses less digits than its factorization.

45008652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45008652 is about 6708.8487835097. The cubic root of 45008652 is about 355.7121247222.

The spelling of 45008652 in words is "forty-five million, eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 41 52 62 78 82 93 123 124 156 164 186 227 246 372 403 454 492 533 681 806 908 1066 1209 1271 1362 1599 1612 2132 2418 2542 2724 2951 3198 3813 4836 5084 5902 6396 7037 7626 8853 9307 11804 14074 15252 16523 17706 18614 21111 27921 28148 33046 35412 37228 42222 49569 55842 66092 84444 91481 99138 111684 120991 182962 198276 241982 274443 288517 362973 365924 483964 548886 577034 725946 865551 1097772 1154068 1451892 1731102 3462204 3750721 7501442 11252163 15002884 22504326 45008652