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45348048 = 2432314917
BaseRepresentation
bin1010110011111…
…1010011010000
310011022220211100
42230333103100
543102114143
64255544400
71060311024
oct254772320
9104286740
1045348048
1123663729
121322b100
139519b85
146046384
153eab6d3
hex2b3f4d0

45348048 has 30 divisors (see below), whose sum is σ = 126911954. Its totient is φ = 15115968.

The previous prime is 45348031. The next prime is 45348053. The reversal of 45348048 is 84084354.

45348048 is a `hidden beast` number, since 4 + 534 + 80 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45319824 + 28224 = 6732^2 + 168^2 .

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

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, 157315 + ... + 157602.

Almost surely, 245348048 is an apocalyptic number.

45348048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45348048 is an abundant number, since it is smaller than the sum of its proper divisors (81563906).

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

45348048 is a wasteful number, since it uses less digits than its factorization.

45348048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314931 (or 314922 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 45348048 is about 6734.0959304126. The cubic root of 45348048 is about 356.6039908890.

The spelling of 45348048 in words is "forty-five million, three hundred forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 314917 629834 944751 1259668 1889502 2519336 2834253 3779004 5038672 5668506 7558008 11337012 15116016 22674024 45348048