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48208900 = 2252598171
BaseRepresentation
bin1011011111100…
…1110000000100
310100201021011211
42313321300010
544320141100
64441141204
71123524505
oct267716004
9110637154
1048208900
1125238073
121418a804
139cac09c
14658cbac
1543741ba
hex2df9c04

48208900 has 36 divisors (see below), whose sum is σ = 106399440. Its totient is φ = 18954400.

The previous prime is 48208873. The next prime is 48208931. The reversal of 48208900 is 980284.

48208900 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 11 ways as a sum of consecutive naturals, for example, 1815 + ... + 9985.

It is an arithmetic number, because the mean of its divisors is an integer number (2955540).

Almost surely, 248208900 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 48208900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53199720).

48208900 is an abundant number, since it is smaller than the sum of its proper divisors (58190540).

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

48208900 is a wasteful number, since it uses less digits than its factorization.

48208900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 48208900 is about 6943.2629217105. The cubic root of 48208900 is about 363.9505729288.

The spelling of 48208900 in words is "forty-eight million, two hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 5900 8171 16342 32684 40855 81710 163420 204275 408550 482089 817100 964178 1928356 2410445 4820890 9641780 12052225 24104450 48208900