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815902096 = 243721932
BaseRepresentation
bin110000101000011…
…010110110010000
32002212021010021011
4300220122312100
53132332331341
6212543340304
726135024212
oct6050326620
92085233234
10815902096
11389612359
121a92b1694
13100060009
147a5085b2
154b968b81
hex30a1ad90

815902096 has 45 divisors (see below), whose sum is σ = 1633151331. Its totient is φ = 394868736.

The previous prime is 815902067. The next prime is 815902099. The reversal of 815902096 is 690209518.

The square root of 815902096 is 28564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27415696 + 788486400 = 5236^2 + 28080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (815902099) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4227376 + ... + 4227568.

Almost surely, 2815902096 is an apocalyptic number.

815902096 is the 28564-th square number.

It is an amenable number.

815902096 is an abundant number, since it is smaller than the sum of its proper divisors (817249235).

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

815902096 is an equidigital number, since it uses as much as digits as its factorization.

815902096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The cubic root of 815902096 is about 934.4283716541.

The spelling of 815902096 in words is "eight hundred fifteen million, nine hundred two thousand, ninety-six".

Divisors: 1 2 4 8 16 37 74 148 193 296 386 592 772 1369 1544 2738 3088 5476 7141 10952 14282 21904 28564 37249 57128 74498 114256 148996 264217 297992 528434 595984 1056868 1378213 2113736 2756426 4227472 5512852 11025704 22051408 50993881 101987762 203975524 407951048 815902096