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45093216 = 253767103
BaseRepresentation
bin1010110000000…
…1000101100000
310010211222021010
42230001011200
543020440331
64250300520
71055200050
oct254010540
9103758233
1045093216
11234aa223
1213127740
13945ab9c
145dbb560
153e5ae46
hex2b01160

45093216 has 48 divisors (see below), whose sum is σ = 135281664. Its totient is φ = 12883584.

The previous prime is 45093203. The next prime is 45093221. The reversal of 45093216 is 61239054.

It is a tau number, because it is divible by the number of its divisors (48).

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, 32880 + ... + 34223.

It is an arithmetic number, because the mean of its divisors is an integer number (2818368).

Almost surely, 245093216 is an apocalyptic number.

It is an amenable number.

45093216 is an abundant number, since it is smaller than the sum of its proper divisors (90188448).

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

45093216 is a wasteful number, since it uses less digits than its factorization.

45093216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67123 (or 67115 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 45093216 is about 6715.1482485497. The cubic root of 45093216 is about 355.9347605907.

The spelling of 45093216 in words is "forty-five million, ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 67103 134206 201309 268412 402618 469721 536824 805236 939442 1073648 1409163 1610472 1878884 2147296 2818326 3220944 3757768 5636652 6441888 7515536 11273304 15031072 22546608 45093216