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48136032 = 253472379
BaseRepresentation
bin1011011110011…
…1111101100000
310100120120020000
42313213331200
544310323112
64435420000
71123102200
oct267477540
9110516200
1048136032
112519834a
1214154600
139c84b79
146570400
15435c7dc
hex2de7f60

48136032 has 180 divisors, whose sum is σ = 165114180. Its totient is φ = 13716864.

The previous prime is 48136021. The next prime is 48136073. The reversal of 48136032 is 23063184.

It is a happy number.

48136032 is a `hidden beast` number, since 48 + 13 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48135987 and 48136005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126819 + ... + 127197.

It is an arithmetic number, because the mean of its divisors is an integer number (917301).

Almost surely, 248136032 is an apocalyptic number.

48136032 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 48136032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82557090).

48136032 is an abundant number, since it is smaller than the sum of its proper divisors (116978148).

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

48136032 is a wasteful number, since it uses less digits than its factorization.

48136032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 48136032 is about 6938.0135485598. The cubic root of 48136032 is about 363.7671094089.

The spelling of 48136032 in words is "forty-eight million, one hundred thirty-six thousand, thirty-two".