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48868560 = 243251323227
BaseRepresentation
bin1011101001101…
…0110011010000
310101221210001200
42322122303100
5100002243220
64503231200
71132242636
oct272326320
9111853050
1048868560
1125648744
1214448500
13a180410
1466c1356
154454890
hex2e9acd0

48868560 has 240 divisors, whose sum is σ = 185238144. Its totient is φ = 11455488.

The previous prime is 48868543. The next prime is 48868571. The reversal of 48868560 is 6586884.

48868560 is a `hidden beast` number, since 4 + 8 + 86 + 8 + 560 = 666.

48868560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 215167 + ... + 215393.

Almost surely, 248868560 is an apocalyptic number.

48868560 is a gapful number since it is divisible by the number (40) 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 48868560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

48868560 is an abundant number, since it is smaller than the sum of its proper divisors (136369584).

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

48868560 is a wasteful number, since it uses less digits than its factorization.

48868560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 48868560 is about 6990.6051240218. The cubic root of 48868560 is about 365.6030813071.

The spelling of 48868560 in words is "forty-eight million, eight hundred sixty-eight thousand, five hundred sixty".