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675972864 = 283474657
BaseRepresentation
bin101000010010101…
…000011100000000
31202002221222110000
4220102220130000
52341022112424
6151024240000
722515450240
oct5022503400
91662858400
10675972864
11317629466
1216a470000
13aa078c58
1465ac1b20
153e5283c9
hex284a8700

675972864 has 180 divisors, whose sum is σ = 2304070384. Its totient is φ = 193093632.

The previous prime is 675972859. The next prime is 675972881. The reversal of 675972864 is 468279576.

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

It is a self number, because there is not a number n which added to its sum of digits gives 675972864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 142824 + ... + 147480.

Almost surely, 2675972864 is an apocalyptic number.

675972864 is a gapful number since it is divisible by the number (64) 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 675972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152035192).

675972864 is an abundant number, since it is smaller than the sum of its proper divisors (1628097520).

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

675972864 is an equidigital number, since it uses as much as digits as its factorization.

675972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4669 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 675972864 is about 25999.4781486091. The cubic root of 675972864 is about 877.6265519868.

The spelling of 675972864 in words is "six hundred seventy-five million, nine hundred seventy-two thousand, eight hundred sixty-four".