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48165152 = 2571911317
BaseRepresentation
bin1011011110111…
…1000100100000
310100122001011112
42313233010200
544312241102
64440202452
71123253120
oct267570440
9110561145
1048165152
1125208212
1214169428
139c951b9
14657ac80
154366252
hex2def120

48165152 has 48 divisors (see below), whose sum is σ = 114085440. Its totient is φ = 19554048.

The previous prime is 48165127. The next prime is 48165179. The reversal of 48165152 is 25156184.

48165152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1403 + ... + 9914.

It is an arithmetic number, because the mean of its divisors is an integer number (2376780).

Almost surely, 248165152 is an apocalyptic number.

It is an amenable number.

48165152 is an abundant number, since it is smaller than the sum of its proper divisors (65920288).

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

48165152 is a wasteful number, since it uses less digits than its factorization.

48165152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11353 (or 11345 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 48165152 is about 6940.1118146612. Note that the first 3 decimals coincide. The cubic root of 48165152 is about 363.8404485302.

The spelling of 48165152 in words is "forty-eight million, one hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 11317 22634 45268 79219 90536 158438 181072 215023 316876 362144 430046 633752 860092 1267504 1505161 1720184 2535008 3010322 3440368 6020644 6880736 12041288 24082576 48165152