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823112472 = 233713253547
BaseRepresentation
bin110001000011111…
…011001100011000
32010100211110001010
4301003323030120
53141204044342
6213402053520
726253224550
oct6103731430
92110743033
10823112472
11392697646
121ab7aa2a0
131016b5c00
147b464160
154c3e029c
hex310fb318

823112472 has 192 divisors, whose sum is σ = 2599361280. Its totient is φ = 212599296.

The previous prime is 823112429. The next prime is 823112473. The reversal of 823112472 is 274211328.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823112473) 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, 1504503 + ... + 1505049.

It is an arithmetic number, because the mean of its divisors is an integer number (13538340).

Almost surely, 2823112472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823112472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299680640).

823112472 is an abundant number, since it is smaller than the sum of its proper divisors (1776248808).

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

823112472 is a wasteful number, since it uses less digits than its factorization.

823112472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 823112472 is about 28689.9367723249. The cubic root of 823112472 is about 937.1729123123.

The spelling of 823112472 in words is "eight hundred twenty-three million, one hundred twelve thousand, four hundred seventy-two".