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48382152 = 23371322153
BaseRepresentation
bin1011100010010…
…0000011001000
310101001001211120
42320210003020
544341212102
64444555240
71125145560
oct270440310
9111031746
1048382152
1125346255
1214252b20
13a03cbc0
1465d5da0
1543aa6bc
hex2e240c8

48382152 has 64 divisors (see below), whose sum is σ = 148874880. Its totient is φ = 12759552.

The previous prime is 48382123. The next prime is 48382177. The reversal of 48382152 is 25128384.

It is a super-2 number, since 2×483821522 = 4681665264302208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8893 + ... + 13260.

It is an arithmetic number, because the mean of its divisors is an integer number (2326170).

Almost surely, 248382152 is an apocalyptic number.

48382152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48382152 is an abundant number, since it is smaller than the sum of its proper divisors (100492728).

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

48382152 is a wasteful number, since it uses less digits than its factorization.

48382152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22182 (or 22178 counting only the distinct ones).

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

The square root of 48382152 is about 6955.7279992823. The cubic root of 48382152 is about 364.3860373329.

The spelling of 48382152 in words is "forty-eight million, three hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 22153 44306 66459 88612 132918 155071 177224 265836 287989 310142 465213 531672 575978 620284 863967 930426 1151956 1240568 1727934 1860852 2015923 2303912 3455868 3721704 4031846 6047769 6911736 8063692 12095538 16127384 24191076 48382152