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45132864 = 263733581
BaseRepresentation
bin1010110000101…
…0110001000000
310010220222122120
42230022301000
543023222424
64251204240
71055423460
oct254126100
9103828576
1045132864
1123526a97
1213146680
139472c4a
145dcbba0
153e67a79
hex2b0ac40

45132864 has 56 divisors (see below), whose sum is σ = 136477248. Its totient is φ = 12894720.

The previous prime is 45132851. The next prime is 45132911. The reversal of 45132864 is 46823154.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15447 + ... + 18134.

Almost surely, 245132864 is an apocalyptic number.

It is an amenable number.

45132864 is an abundant number, since it is smaller than the sum of its proper divisors (91344384).

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

45132864 is a wasteful number, since it uses less digits than its factorization.

45132864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33603 (or 33593 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 45132864 is about 6718.0997313228. The cubic root of 45132864 is about 356.0390480251.

The spelling of 45132864 in words is "forty-five million, one hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 33581 67162 100743 134324 201486 235067 268648 402972 470134 537296 705201 805944 940268 1074592 1410402 1611888 1880536 2149184 2820804 3223776 3761072 5641608 6447552 7522144 11283216 15044288 22566432 45132864