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825885072 = 2435212419
BaseRepresentation
bin110001001110100…
…000000110010000
32010120001022100000
4301032200012100
53142411310242
6213541330000
726315623125
oct6116400620
92116038300
10825885072
11394210751
121b0706900
13102146bbc
147b98674c
154c78ba4c
hex313a0190

825885072 has 60 divisors (see below), whose sum is σ = 2396947280. Its totient is φ = 275293728.

The previous prime is 825885059. The next prime is 825885079. The reversal of 825885072 is 270588528.

It is not an unprimeable number, because it can be changed into a prime (825885079) 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, 102322 + ... + 110097.

Almost surely, 2825885072 is an apocalyptic number.

It is an amenable number.

825885072 is an abundant number, since it is smaller than the sum of its proper divisors (1571062208).

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

825885072 is a wasteful number, since it uses less digits than its factorization.

825885072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212442 (or 212424 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 825885072 is about 28738.2162285692. The cubic root of 825885072 is about 938.2240013729.

The spelling of 825885072 in words is "eight hundred twenty-five million, eight hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 212419 424838 637257 849676 1274514 1699352 1911771 2549028 3398704 3823542 5098056 5735313 7647084 10196112 11470626 15294168 17205939 22941252 30588336 34411878 45882504 51617817 68823756 91765008 103235634 137647512 206471268 275295024 412942536 825885072