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816107325 = 352112394139
BaseRepresentation
bin110000101001001…
…100111100111101
32002212122112210020
4300221030330331
53132410413300
6212552002353
726136540435
oct6051147475
92085575706
10816107325
11389742570
121a93903b9
13100102557
147a55d2c5
154b9a98a0
hex30a4cf3d

816107325 has 48 divisors (see below), whose sum is σ = 1478476800. Its totient is φ = 393937600.

The previous prime is 816107309. The next prime is 816107351. The reversal of 816107325 is 523701618.

It is not a de Polignac number, because 816107325 - 24 = 816107309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195106 + ... + 199244.

It is an arithmetic number, because the mean of its divisors is an integer number (30801600).

Almost surely, 2816107325 is an apocalyptic number.

It is an amenable number.

816107325 is a deficient number, since it is larger than the sum of its proper divisors (662369475).

816107325 is a wasteful number, since it uses less digits than its factorization.

816107325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 816107325 is about 28567.5922156558. The cubic root of 816107325 is about 934.5067126398.

The spelling of 816107325 in words is "eight hundred sixteen million, one hundred seven thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 239 275 717 825 1195 2629 3585 4139 5975 7887 12417 13145 17925 20695 39435 45529 62085 65725 103475 136587 197175 227645 310425 682935 989221 1138225 2967663 3414675 4946105 10881431 14838315 24730525 32644293 54407155 74191575 163221465 272035775 816107325