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811364944 = 241321911571
BaseRepresentation
bin110000010111000…
…111001001010000
32002112201121110111
4300113013021100
53130202134234
6212302211104
726051326315
oct6027071120
92075647414
10811364944
11386aa3545
121a7883a94
13cc131b00
1479a86d0c
154b36e664
hex305c7250

811364944 has 60 divisors (see below), whose sum is σ = 1712247552. Its totient is φ = 372278400.

The previous prime is 811364927. The next prime is 811364959. The reversal of 811364944 is 449463118.

It is a junction number, because it is equal to n+sod(n) for n = 811364897 and 811364906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515679 + ... + 517249.

Almost surely, 2811364944 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 811364944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856123776).

811364944 is an abundant number, since it is smaller than the sum of its proper divisors (900882608).

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

811364944 is a wasteful number, since it uses less digits than its factorization.

811364944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1777 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 811364944 is about 28484.4684696766. The cubic root of 811364944 is about 932.6930626861.

The spelling of 811364944 in words is "eight hundred eleven million, three hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 191 208 338 382 676 764 1352 1528 1571 2483 2704 3056 3142 4966 6284 9932 12568 19864 20423 25136 32279 39728 40846 64558 81692 129116 163384 258232 265499 300061 326768 516464 530998 600122 1061996 1200244 2123992 2400488 3900793 4247984 4800976 7801586 15603172 31206344 50710309 62412688 101420618 202841236 405682472 811364944