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875683872 = 25347172167
BaseRepresentation
bin110100001100011…
…110000000100000
32021000202100110000
4310030132000200
53243133340442
6222520540000
730462122130
oct6414360040
92230670400
10875683872
1140a334288
12205321600
1310c56184b
148442aac0
1551d26d4c
hex3431e020

875683872 has 360 divisors, whose sum is σ = 3145310784. Its totient is φ = 234067968.

The previous prime is 875683871. The next prime is 875683901. The reversal of 875683872 is 278386578.

875683872 is a `hidden beast` number, since 8 + 7 + 568 + 3 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4515840) is a multiple of the sum of its prime divisors (196).

It is not an unprimeable number, because it can be changed into a prime (875683871) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5243533 + ... + 5243699.

Almost surely, 2875683872 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 875683872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572655392).

875683872 is an abundant number, since it is smaller than the sum of its proper divisors (2269626912).

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

875683872 is a wasteful number, since it uses less digits than its factorization.

875683872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 875683872 is about 29591.9562043472. The cubic root of 875683872 is about 956.7147074635.

The spelling of 875683872 in words is "eight hundred seventy-five million, six hundred eighty-three thousand, eight hundred seventy-two".