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45348560 = 245566857
BaseRepresentation
bin1010110011111…
…1011011010000
310011022221112022
42230333123100
543102123220
64255551012
71060312355
oct254773320
9104287468
1045348560
1123664054
121322b468
13951a18a
14604662c
153eab925
hex2b3f6d0

45348560 has 20 divisors (see below), whose sum is σ = 105435588. Its totient is φ = 18139392.

The previous prime is 45348533. The next prime is 45348587. The reversal of 45348560 is 6584354.

It is an interprime number because it is at equal distance from previous prime (45348533) and next prime (45348587).

It can be written as a sum of positive squares in 2 ways, for example, as 28472896 + 16875664 = 5336^2 + 4108^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 45348560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283349 + ... + 283508.

Almost surely, 245348560 is an apocalyptic number.

45348560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45348560 is an abundant number, since it is smaller than the sum of its proper divisors (60087028).

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

45348560 is a wasteful number, since it uses less digits than its factorization.

45348560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566870 (or 566864 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 45348560 is about 6734.1339458018. The cubic root of 45348560 is about 356.6053329575.

The spelling of 45348560 in words is "forty-five million, three hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 566857 1133714 2267428 2834285 4534856 5668570 9069712 11337140 22674280 45348560