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816752352 = 2531317137281
BaseRepresentation
bin110000101011101…
…010011011100000
32002220212022121010
4300223222123200
53133042033402
6213013500520
726145165123
oct6053523340
92086768533
10816752352
1138a043149
121a9641740
1310029a020
147a68a3ba
154ba85a6c
hex30aea6e0

816752352 has 192 divisors, whose sum is σ = 2471321664. Its totient is φ = 233963520.

The previous prime is 816752351. The next prime is 816752353. The reversal of 816752352 is 253257618.

It is an interprime number because it is at equal distance from previous prime (816752351) and next prime (816752353).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 816752352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816752351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2906452 + ... + 2906732.

It is an arithmetic number, because the mean of its divisors is an integer number (12871467).

Almost surely, 2816752352 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 816752352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235660832).

816752352 is an abundant number, since it is smaller than the sum of its proper divisors (1654569312).

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

816752352 is a wasteful number, since it uses less digits than its factorization.

816752352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 816752352 is about 28578.8794741851. The cubic root of 816752352 is about 934.7528499249.

It can be divided in two parts, 81675 and 2352, that multiplied together give a square (192099600 = 138602).

The spelling of 816752352 in words is "eight hundred sixteen million, seven hundred fifty-two thousand, three hundred fifty-two".