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823952472 = 233731158209
BaseRepresentation
bin110001000111001…
…000010001011000
32010102102010022020
4301013020101120
53141412434342
6213432054440
726263323540
oct6107102130
92112363266
10823952472
11393110762
121abb34420
1310191b355
147b602320
154c5090ec
hex311c8458

823952472 has 64 divisors (see below), whose sum is σ = 2430105600. Its totient is φ = 227819520.

The previous prime is 823952471. The next prime is 823952497. The reversal of 823952472 is 274259328.

It is a super-2 number, since 2×8239524722 = 1357795352229821568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823952471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73897 + ... + 84312.

It is an arithmetic number, because the mean of its divisors is an integer number (37970400).

Almost surely, 2823952472 is an apocalyptic number.

It is an amenable number.

823952472 is an abundant number, since it is smaller than the sum of its proper divisors (1606153128).

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

823952472 is a wasteful number, since it uses less digits than its factorization.

823952472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158256 (or 158252 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 823952472 is about 28704.5723187091. The cubic root of 823952472 is about 937.4916041204.

The spelling of 823952472 in words is "eight hundred twenty-three million, nine hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 158209 316418 474627 632836 949254 1107463 1265672 1898508 2214926 3322389 3797016 4429852 4904479 6644778 8859704 9808958 13289556 14713437 19617916 26579112 29426874 34331353 39235832 58853748 68662706 102994059 117707496 137325412 205988118 274650824 411976236 823952472