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81246336 = 2731731223
BaseRepresentation
bin1001101011110…
…11100010000000
312122212202000120
410311323202000
5131244340321
612021220240
72004403533
oct465734200
9178782016
1081246336
1141952636
1223261680
1313aa8772
14ab0ca1a
1571ecec6
hex4d7b880

81246336 has 64 divisors (see below), whose sum is σ = 217235520. Its totient is φ = 26903552.

The previous prime is 81246329. The next prime is 81246353. The reversal of 81246336 is 63364218.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×812463362 = 13201934226849792, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 81246297 and 81246306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65821 + ... + 67043.

It is an arithmetic number, because the mean of its divisors is an integer number (3394305).

Almost surely, 281246336 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 81246336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108617760).

81246336 is an abundant number, since it is smaller than the sum of its proper divisors (135989184).

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

81246336 is a wasteful number, since it uses less digits than its factorization.

81246336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1401 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 81246336 is about 9013.6749442167. The cubic root of 81246336 is about 433.1130420083.

The spelling of 81246336 in words is "eighty-one million, two hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1223 1384 2076 2446 2768 3669 4152 4892 5536 7338 8304 9784 11072 14676 16608 19568 22144 29352 33216 39136 58704 66432 78272 117408 156544 211579 234816 423158 469632 634737 846316 1269474 1692632 2538948 3385264 5077896 6770528 10155792 13541056 20311584 27082112 40623168 81246336