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825495714 = 2322331131491
BaseRepresentation
bin110001001101000…
…001000010100010
32010112022112020100
4301031001002202
53142311330324
6213525123230
726312412021
oct6115010242
92115275210
10825495714
11393a7516a
121b0559516
1310203b904
147b8c48b8
154c7114c9
hex313410a2

825495714 has 96 divisors (see below), whose sum is σ = 1945202688. Its totient is φ = 252252000.

The previous prime is 825495689. The next prime is 825495719. The reversal of 825495714 is 417594528.

It is a self number, because there is not a number n which added to its sum of digits gives 825495714.

It is not an unprimeable number, because it can be changed into a prime (825495719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1681009 + ... + 1681499.

It is an arithmetic number, because the mean of its divisors is an integer number (20262528).

Almost surely, 2825495714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825495714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972601344).

825495714 is an abundant number, since it is smaller than the sum of its proper divisors (1119706974).

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

825495714 is a wasteful number, since it uses less digits than its factorization.

825495714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 681 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 825495714 is about 28731.4412099358. The cubic root of 825495714 is about 938.0765383844.

The spelling of 825495714 in words is "eight hundred twenty-five million, four hundred ninety-five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 131 138 186 207 262 279 393 414 491 558 713 786 982 1179 1426 1473 2139 2358 2946 3013 4061 4278 4419 6026 6417 8122 8838 9039 11293 12183 12834 15221 18078 22586 24366 27117 30442 33879 36549 45663 54234 64321 67758 73098 91326 93403 101637 128642 136989 186806 192963 203274 273978 280209 350083 385926 560418 578889 700166 840627 1050249 1157778 1479383 1681254 1993951 2100498 2958766 3150747 3987902 4438149 5981853 6301494 8876298 11963706 13314447 17945559 26628894 35891118 45860873 91721746 137582619 275165238 412747857 825495714