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48456504 = 23321514457
BaseRepresentation
bin1011100011011…
…0001100111000
310101011211211100
42320312030320
544401102004
64450331400
71125605415
oct270661470
9111154740
1048456504
11253970a8
1214289b60
13a0679b5
14661510c
1543c2739
hex2e36338

48456504 has 48 divisors (see below), whose sum is σ = 132135120. Its totient is φ = 16041600.

The previous prime is 48456497. The next prime is 48456521. The reversal of 48456504 is 40565484.

48456504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8644 + ... + 13100.

It is an arithmetic number, because the mean of its divisors is an integer number (2752815).

Almost surely, 248456504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48456504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66067560).

48456504 is an abundant number, since it is smaller than the sum of its proper divisors (83678616).

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

48456504 is a wasteful number, since it uses less digits than its factorization.

48456504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 48456504 is about 6961.0706073132. The cubic root of 48456504 is about 364.5726003727.

The spelling of 48456504 in words is "forty-eight million, four hundred fifty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 4457 5436 8914 10872 13371 17828 26742 35656 40113 53484 80226 106968 160452 320904 673007 1346014 2019021 2692028 4038042 5384056 6057063 8076084 12114126 16152168 24228252 48456504