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45195456 = 263298117
BaseRepresentation
bin1010110001101…
…0000011000000
310011001011111210
42230122003000
543032223311
64252410120
71056104115
oct254320300
9104034453
1045195456
112356a019
1213176940
139495597
14600690c
153e7b3a6
hex2b1a0c0

45195456 has 56 divisors (see below), whose sum is σ = 123718320. Its totient is φ = 14543872.

The previous prime is 45195421. The next prime is 45195457. The reversal of 45195456 is 65459154.

It is not an unprimeable number, because it can be changed into a prime (45195457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1510 + ... + 9626.

Almost surely, 245195456 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 45195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61859160).

45195456 is an abundant number, since it is smaller than the sum of its proper divisors (78522864).

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

45195456 is a wasteful number, since it uses less digits than its factorization.

45195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8161 (or 8151 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 45195456 is about 6722.7565774762. The cubic root of 45195456 is about 356.2035615677.

The spelling of 45195456 in words is "forty-five million, one hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 8117 16234 24351 32468 48702 64936 97404 129872 194808 235393 259744 389616 470786 519488 706179 779232 941572 1412358 1558464 1883144 2824716 3766288 5649432 7532576 11298864 15065152 22597728 45195456