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48086052 = 22372531543
BaseRepresentation
bin1011011101101…
…1110000100100
310100111000122220
42313123300210
544302223202
64434352340
71122503400
oct267336044
9110430586
1048086052
1125163843
121412b6b0
139c681b1
14655a100
15434cabc
hex2ddbc24

48086052 has 72 divisors (see below), whose sum is σ = 133068096. Its totient is φ = 13470912.

The previous prime is 48085993. The next prime is 48086057. The reversal of 48086052 is 25068084.

It is a super-3 number, since 3×480860523 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (48086057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30393 + ... + 31935.

It is an arithmetic number, because the mean of its divisors is an integer number (1848168).

Almost surely, 248086052 is an apocalyptic number.

48086052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48086052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66534048).

48086052 is an abundant number, since it is smaller than the sum of its proper divisors (84982044).

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

48086052 is a wasteful number, since it uses less digits than its factorization.

48086052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 48086052 is about 6934.4107175736. The cubic root of 48086052 is about 363.6411651108.

The spelling of 48086052 in words is "forty-eight million, eighty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 1543 2226 2597 3086 4452 4629 5194 6172 7791 9258 10388 10801 15582 18516 21602 31164 32403 43204 64806 75607 81779 129612 151214 163558 226821 245337 302428 327116 453642 490674 572453 907284 981348 1144906 1717359 2289812 3434718 4007171 6869436 8014342 12021513 16028684 24043026 48086052