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81875352 = 23313299049
BaseRepresentation
bin1001110000101…
…01000110011000
312201001200212110
410320111012120
5131430002402
612042512320
72012633436
oct470250630
9181050773
1081875352
1142242189
12235056a0
1313c68b70
14ac33d56
1572c456c
hex4e15198

81875352 has 64 divisors (see below), whose sum is σ = 228060000. Its totient is φ = 24321024.

The previous prime is 81875341. The next prime is 81875357. The reversal of 81875352 is 25357818.

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 81875352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81875357) 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, 4524 + ... + 13572.

Almost surely, 281875352 is an apocalyptic number.

It is a pronic number, being equal to 9048×9049.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81875352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114030000).

81875352 is an abundant number, since it is smaller than the sum of its proper divisors (146184648).

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

81875352 is a wasteful number, since it uses less digits than its factorization.

81875352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9096 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 81875352 is about 9048.4999861856. The cubic root of 81875352 is about 434.2279024169.

The spelling of 81875352 in words is "eighty-one million, eight hundred seventy-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 9049 18098 27147 36196 54294 72392 108588 117637 217176 235274 262421 352911 470548 524842 705822 787263 941096 1049684 1411644 1574526 2099368 2823288 3149052 3411473 6298104 6822946 10234419 13645892 20468838 27291784 40937676 81875352