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47880900 = 22325253201
BaseRepresentation
bin1011011010100…
…1101011000100
310100002121020200
42312221223010
544224142100
64430130500
71120660314
oct266515304
9110077220
1047880900
11250336a1
1214050a30
139bc59c2
146505444
15430be00
hex2da9ac4

47880900 has 54 divisors (see below), whose sum is σ = 150082842. Its totient is φ = 12768000.

The previous prime is 47880881. The next prime is 47880901. The reversal of 47880900 is 908874.

47880900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7354944 + 40525956 = 2712^2 + 6366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47880901) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 25701 + ... + 27500.

Almost surely, 247880900 is an apocalyptic number.

It is an amenable number.

47880900 is an abundant number, since it is smaller than the sum of its proper divisors (102201942).

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

47880900 is a wasteful number, since it uses less digits than its factorization.

47880900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53221 (or 53211 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 47880900 is about 6919.6025897446. The cubic root of 47880900 is about 363.1232875854.

The spelling of 47880900 in words is "forty-seven million, eight hundred eighty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 53201 106402 159603 212804 266005 319206 478809 532010 638412 798015 957618 1064020 1330025 1596030 1915236 2394045 2660050 3192060 3990075 4788090 5320100 7980150 9576180 11970225 15960300 23940450 47880900