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823478112 = 25324169739
BaseRepresentation
bin110001000101010…
…100011101100000
32010101112000121100
4301011110131200
53141302244422
6213413554400
726256306552
oct6105243540
92111460540
10823478112
11392917326
121ab945a00
131017b3472
147b51b4d2
154c4637ac
hex31154760

823478112 has 72 divisors (see below), whose sum is σ = 2398916520. Its totient is φ = 267793920.

The previous prime is 823478077. The next prime is 823478129. The reversal of 823478112 is 211874328.

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 a congruent number.

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, 23062 + ... + 46677.

It is an arithmetic number, because the mean of its divisors is an integer number (33318285).

Almost surely, 2823478112 is an apocalyptic number.

823478112 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

823478112 is an abundant number, since it is smaller than the sum of its proper divisors (1575438408).

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

823478112 is a wasteful number, since it uses less digits than its factorization.

823478112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69796 (or 69785 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 823478112 is about 28696.3083340000. The cubic root of 823478112 is about 937.3116609395.

The spelling of 823478112 in words is "eight hundred twenty-three million, four hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 69739 139478 209217 278956 418434 557912 627651 836868 1115824 1255302 1673736 2231648 2510604 2859299 3347472 5021208 5718598 6694944 8577897 10042416 11437196 17155794 20084832 22874392 25733691 34311588 45748784 51467382 68623176 91497568 102934764 137246352 205869528 274492704 411739056 823478112