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48959916 = 22323533347
BaseRepresentation
bin1011101011000…
…1000110101100
310102010102101020
42322301012230
5100013204131
64505214140
71133103165
oct272610654
9112112336
1048959916
1125700345
1214491350
13a1b2b85
14670676c
154471996
hex2eb11ac

48959916 has 48 divisors (see below), whose sum is σ = 121492224. Its totient is φ = 15311296.

The previous prime is 48959887. The next prime is 48959927. The reversal of 48959916 is 61995984.

48959916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 12955 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 248959916 is an apocalyptic number.

48959916 is a gapful number since it is divisible by the number (46) 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 48959916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60746112).

48959916 is an abundant number, since it is smaller than the sum of its proper divisors (72532308).

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

48959916 is a wasteful number, since it uses less digits than its factorization.

48959916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3428 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 48959916 is about 6997.1362713613. The cubic root of 48959916 is about 365.8307617337.

The spelling of 48959916 in words is "forty-eight million, nine hundred fifty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 636 1219 2438 3347 3657 4876 6694 7314 10041 13388 14628 20082 40164 76981 153962 177391 230943 307924 354782 461886 532173 709564 923772 1064346 2128692 4079993 8159986 12239979 16319972 24479958 48959916