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815241936 = 243178312037
BaseRepresentation
bin110000100101111…
…001101011010000
32002211000120200210
4300211321223100
53132200220221
6212521244120
726126304435
oct6045715320
92084016623
10815241936
11389201373
121a9033640
13ccb8b6a2
147a3b5b8c
154b888276
hex30979ad0

815241936 has 80 divisors (see below), whose sum is σ = 2256980544. Its totient is φ = 252659712.

The previous prime is 815241929. The next prime is 815241941. The reversal of 815241936 is 639142518.

It is a junction number, because it is equal to n+sod(n) for n = 815241894 and 815241903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61710 + ... + 73746.

Almost surely, 2815241936 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 815241936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128490272).

815241936 is an abundant number, since it is smaller than the sum of its proper divisors (1441738608).

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

815241936 is a wasteful number, since it uses less digits than its factorization.

815241936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148 (or 12142 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 815241936 is about 28552.4418570461. The cubic root of 815241936 is about 934.1762831231.

The spelling of 815241936 in words is "eight hundred fifteen million, two hundred forty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 204 249 272 332 408 498 664 816 996 1328 1411 1992 2822 3984 4233 5644 8466 11288 12037 16932 22576 24074 33864 36111 48148 67728 72222 96296 144444 192592 204629 288888 409258 577776 613887 818516 999071 1227774 1637032 1998142 2455548 2997213 3274064 3996284 4911096 5994426 7992568 9822192 11988852 15985136 16984207 23977704 33968414 47955408 50952621 67936828 101905242 135873656 203810484 271747312 407620968 815241936