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48059408 = 24171091621
BaseRepresentation
bin1011011101010…
…1010000010000
310100102200010002
42313111100100
544300400113
64434025132
71122332615
oct267252020
9110380102
1048059408
1125145821
12141181a8
139c59027
14655050c
154344c58
hex2dd5410

48059408 has 40 divisors (see below), whose sum is σ = 99558360. Its totient is φ = 22394880.

The previous prime is 48059383. The next prime is 48059441. The reversal of 48059408 is 80495084.

It can be written as a sum of positive squares in 4 ways, for example, as 23931664 + 24127744 = 4892^2 + 4912^2 .

It is a super-3 number, since 3×480594083 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28838 + ... + 30458.

It is an arithmetic number, because the mean of its divisors is an integer number (2488959).

Almost surely, 248059408 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 48059408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49779180).

48059408 is an abundant number, since it is smaller than the sum of its proper divisors (51498952).

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

48059408 is a wasteful number, since it uses less digits than its factorization.

48059408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 48059408 is about 6932.4893076008. The cubic root of 48059408 is about 363.5739893925.

The spelling of 48059408 in words is "forty-eight million, fifty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 872 1621 1744 1853 3242 3706 6484 7412 12968 14824 25936 27557 29648 55114 110228 176689 220456 353378 440912 706756 1413512 2827024 3003713 6007426 12014852 24029704 48059408