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48125664 = 25362063
BaseRepresentation
bin1011011110010…
…1011011100000
310100120001000000
42313211123200
544310010124
64435300000
71123030026
oct267453340
9110501000
1048125664
1125190584
121414a600
139c80232
14656a716
1543596c9
hex2de56e0

48125664 has 84 divisors (see below), whose sum is σ = 142124976. Its totient is φ = 16034112.

The previous prime is 48125647. The next prime is 48125669. The reversal of 48125664 is 46652184.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48125669) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22297 + ... + 24359.

It is an arithmetic number, because the mean of its divisors is an integer number (1691964).

Almost surely, 248125664 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 48125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71062488).

48125664 is an abundant number, since it is smaller than the sum of its proper divisors (93999312).

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

48125664 is an equidigital number, since it uses as much as digits as its factorization.

48125664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2068 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 48125664 is about 6937.2663203887. The cubic root of 48125664 is about 363.7409903178.

The spelling of 48125664 in words is "forty-eight million, one hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2063 2592 2916 3888 4126 5832 6189 7776 8252 11664 12378 16504 18567 23328 24756 33008 37134 49512 55701 66016 74268 99024 111402 148536 167103 198048 222804 297072 334206 445608 501309 594144 668412 891216 1002618 1336824 1503927 1782432 2005236 2673648 3007854 4010472 5347296 6015708 8020944 12031416 16041888 24062832 48125664