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81860352 = 283715227
BaseRepresentation
bin1001110000100…
…01011100000000
312201000221021220
410320101130000
5131424012402
612042315040
72012541630
oct470213400
9181027256
1081860352
1142231992
12234b8a80
1313c620a2
14ac2c6c0
1572bedbc
hex4e11700

81860352 has 72 divisors (see below), whose sum is σ = 249008256. Its totient is φ = 23387136.

The previous prime is 81860351. The next prime is 81860357. The reversal of 81860352 is 25306818.

It is a happy number.

It is a super-2 number, since 2×818603522 = 13402234459127808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81860351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2238 + ... + 12989.

It is an arithmetic number, because the mean of its divisors is an integer number (3458448).

Almost surely, 281860352 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 81860352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124504128).

81860352 is an abundant number, since it is smaller than the sum of its proper divisors (167147904).

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

81860352 is a wasteful number, since it uses less digits than its factorization.

81860352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15253 (or 15239 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 81860352 is about 9047.6710815546. The cubic root of 81860352 is about 434.2013831769.

The spelling of 81860352 in words is "eighty-one million, eight hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 15227 30454 45681 60908 91362 106589 121816 182724 213178 243632 319767 365448 426356 487264 639534 730896 852712 974528 1279068 1461792 1705424 1949056 2558136 2923584 3410848 3898112 5116272 5847168 6821696 10232544 11694336 13643392 20465088 27286784 40930176 81860352