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45325956 = 223132943233
BaseRepresentation
bin1010110011100…
…1111010000100
310011021210112010
42230321322010
543100412311
64255254220
71060156434
oct254717204
9104253463
1045325956
1123649075
121321a370
13950cac0
14603c2c4
153ea4da6
hex2b39e84

45325956 has 96 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 13095936.

The previous prime is 45325901. The next prime is 45325967. The reversal of 45325956 is 65952354.

45325956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 194416 + ... + 194648.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 245325956 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 45325956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

45325956 is an abundant number, since it is smaller than the sum of its proper divisors (75755004).

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

45325956 is a wasteful number, since it uses less digits than its factorization.

45325956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The square root of 45325956 is about 6732.4554213155. The cubic root of 45325956 is about 356.5460731074.

The spelling of 45325956 in words is "forty-five million, three hundred twenty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 43 52 58 78 86 87 116 129 156 172 174 233 258 348 377 466 516 559 699 754 932 1118 1131 1247 1398 1508 1677 2236 2262 2494 2796 3029 3354 3741 4524 4988 6058 6708 6757 7482 9087 10019 12116 13514 14964 16211 18174 20038 20271 27028 30057 32422 36348 40076 40542 48633 60114 64844 81084 87841 97266 120228 130247 175682 194532 260494 263523 290551 351364 390741 520988 527046 581102 781482 871653 1054092 1162204 1562964 1743306 3486612 3777163 7554326 11331489 15108652 22662978 45325956