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995874264 = 23357116653
BaseRepresentation
bin111011010110111…
…101010111011000
32120101220122200000
4323112331113120
54014420434024
6242453013000
733451535340
oct7326752730
92511818600
10995874264
11471166090
12239624160
1312b424318
1496395d20
155c668cc9
hex3b5bd5d8

995874264 has 192 divisors, whose sum is σ = 3487760640. Its totient is φ = 258629760.

The previous prime is 995874247. The next prime is 995874301. The reversal of 995874264 is 462478599.

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 995874264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146362 + ... + 153014.

It is an arithmetic number, because the mean of its divisors is an integer number (18165420).

Almost surely, 2995874264 is an apocalyptic number.

995874264 is the 19959-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995874264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743880320).

995874264 is an abundant number, since it is smaller than the sum of its proper divisors (2491886376).

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

995874264 is a wasteful number, since it uses less digits than its factorization.

995874264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6692 (or 6676 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 995874264 is about 31557.4755644364. The cubic root of 995874264 is about 998.6228590200.

The spelling of 995874264 in words is "nine hundred ninety-five million, eight hundred seventy-four thousand, two hundred sixty-four".