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45563328 = 263279103
BaseRepresentation
bin1010110111001…
…1110111000000
310011201212010200
42231303313000
543131011303
64304325200
71062165456
oct255636700
9104655120
1045563328
11237a0448
1213313800
139593b65
1460a09d6
1540003a3
hex2b73dc0

45563328 has 42 divisors (see below), whose sum is σ = 130600704. Its totient is φ = 15187584.

The previous prime is 45563269. The next prime is 45563339. The reversal of 45563328 is 82336554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45563292 and 45563301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38976 + ... + 40127.

Almost surely, 245563328 is an apocalyptic number.

45563328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45563328 is an abundant number, since it is smaller than the sum of its proper divisors (85037376).

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

45563328 is a wasteful number, since it uses less digits than its factorization.

45563328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79121 (or 79108 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45563328 is about 6750.0613330547. The cubic root of 45563328 is about 357.1674002486.

The spelling of 45563328 in words is "forty-five million, five hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 79103 158206 237309 316412 474618 632824 711927 949236 1265648 1423854 1898472 2531296 2847708 3796944 5062592 5695416 7593888 11390832 15187776 22781664 45563328