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810085824 = 26321974021
BaseRepresentation
bin110000010010001…
…110110111000000
32002110022121211200
4300102032313000
53124340221244
6212214541200
726034421152
oct6022166700
92073277750
10810085824
113862aa519
121a7367800
13cbaa4832
1479832ad2
154b1ba669
hex3048edc0

810085824 has 84 divisors (see below), whose sum is σ = 2444206440. Its totient is φ = 255813120.

The previous prime is 810085823. The next prime is 810085847. The reversal of 810085824 is 428580018.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810085823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26067 + ... + 47954.

Almost surely, 2810085824 is an apocalyptic number.

It is an amenable number.

810085824 is an abundant number, since it is smaller than the sum of its proper divisors (1634120616).

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

810085824 is a wasteful number, since it uses less digits than its factorization.

810085824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74058 (or 74045 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 810085824 is about 28462.0066755666. The cubic root of 810085824 is about 932.2026734781.

The spelling of 810085824 in words is "eight hundred ten million, eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 74021 148042 222063 296084 444126 592168 666189 888252 1184336 1332378 1406399 1776504 2368672 2664756 2812798 3553008 4219197 4737344 5329512 5625596 7106016 8438394 10659024 11251192 12657591 14212032 16876788 21318048 22502384 25315182 33753576 42636096 45004768 50630364 67507152 90009536 101260728 135014304 202521456 270028608 405042912 810085824