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45120816 = 24321324103
BaseRepresentation
bin1010110000011…
…1110100110000
310010220101010100
42230013310300
543022331231
64251032400
71055343366
oct254076460
9103811110
1045120816
1123518a34
121313b700
13946a610
145dc7636
153e641e6
hex2b07d30

45120816 has 60 divisors (see below), whose sum is σ = 135994768. Its totient is φ = 13882752.

The previous prime is 45120809. The next prime is 45120827. The reversal of 45120816 is 61802154.

45120816 is a `hidden beast` number, since 451 + 208 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45120816.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10180 + ... + 13923.

Almost surely, 245120816 is an apocalyptic number.

It is an amenable number.

45120816 is an abundant number, since it is smaller than the sum of its proper divisors (90873952).

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

45120816 is a wasteful number, since it uses less digits than its factorization.

45120816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24130 (or 24121 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45120816 is about 6717.2029893401. The cubic root of 45120816 is about 356.0073642377.

The spelling of 45120816 in words is "forty-five million, one hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 24103 48206 72309 96412 144618 192824 216927 289236 313339 385648 433854 578472 626678 867708 940017 1156944 1253356 1735416 1880034 2506712 2820051 3470832 3760068 5013424 5640102 7520136 11280204 15040272 22560408 45120816