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48171872 = 257832591
BaseRepresentation
bin1011011111000…
…0101101100000
310100122101101102
42313300231200
544312444442
64440253532
71123311530
oct267605540
9110571342
1048171872
1125212271
12141712a8
139c98288
14657d4c0
154368232
hex2df0b60

48171872 has 48 divisors (see below), whose sum is σ = 109734912. Its totient is φ = 20388480.

The previous prime is 48171857. The next prime is 48171881. The reversal of 48171872 is 27817184.

48171872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 17297 + ... + 19887.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 248171872 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 48171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456).

48171872 is an abundant number, since it is smaller than the sum of its proper divisors (61563040).

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

48171872 is a wasteful number, since it uses less digits than its factorization.

48171872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2683 counting only the distinct ones).

The product of its digits is 25088, while the sum is 38.

The square root of 48171872 is about 6940.5959398311. The cubic root of 48171872 is about 363.8573687447.

The spelling of 48171872 in words is "forty-eight million, one hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1162 1328 2324 2591 2656 4648 5182 9296 10364 18137 18592 20728 36274 41456 72548 82912 145096 215053 290192 430106 580384 860212 1505371 1720424 3010742 3440848 6021484 6881696 12042968 24085936 48171872