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816857640 = 233252269049
BaseRepresentation
bin110000101100000…
…100001000101000
32002221001200000200
4300230010020220
53133103421030
6213020032200
726146114104
oct6054041050
92087050020
10816857640
1138a105265
121a9692660
13100305c21
147a6b6904
154baa6d60
hex30b04228

816857640 has 48 divisors (see below), whose sum is σ = 2654788500. Its totient is φ = 217828608.

The previous prime is 816857611. The next prime is 816857647. The reversal of 816857640 is 46758618.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 788149476 + 28708164 = 28074^2 + 5358^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (816857647) 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, 1134165 + ... + 1134884.

Almost surely, 2816857640 is an apocalyptic number.

It is an amenable number.

816857640 is an abundant number, since it is smaller than the sum of its proper divisors (1837930860).

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

816857640 is a wasteful number, since it uses less digits than its factorization.

816857640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269066 (or 2269059 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 816857640 is about 28580.7214744485. The cubic root of 816857640 is about 934.7930147024.

The spelling of 816857640 in words is "eight hundred sixteen million, eight hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2269049 4538098 6807147 9076196 11345245 13614294 18152392 20421441 22690490 27228588 34035735 40842882 45380980 54457176 68071470 81685764 90761960 102107205 136142940 163371528 204214410 272285880 408428820 816857640