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830525472 = 25327411967
BaseRepresentation
bin110001100000001…
…101000000100000
32010212210001202200
4301200031000200
53200103303342
6214225013200
726403231030
oct6140150040
92125701680
10830525472
113968a0097
121b2184200
131030b00ba
147c4338c0
154cda694c
hex3180d020

830525472 has 72 divisors (see below), whose sum is σ = 2699214336. Its totient is φ = 237292416.

The previous prime is 830525467. The next prime is 830525539. The reversal of 830525472 is 274525038.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203968 + ... + 207999.

It is an arithmetic number, because the mean of its divisors is an integer number (37489088).

Almost surely, 2830525472 is an apocalyptic number.

It is an amenable number.

830525472 is an abundant number, since it is smaller than the sum of its proper divisors (1868688864).

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

830525472 is a wasteful number, since it uses less digits than its factorization.

830525472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411990 (or 411979 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 830525472 is about 28818.8388385098. The cubic root of 830525472 is about 939.9779201091.

The spelling of 830525472 in words is "eight hundred thirty million, five hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 411967 823934 1235901 1647868 2471802 2883769 3295736 3707703 4943604 5767538 6591472 7415406 8651307 9887208 11535076 13182944 14830812 17302614 19774416 23070152 25953921 29661624 34605228 39548832 46140304 51907842 59323248 69210456 92280608 103815684 118646496 138420912 207631368 276841824 415262736 830525472