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81890496 = 2632178363
BaseRepresentation
bin1001110000110…
…00110011000000
312201002110122100
410320120303000
5131430443441
612043110400
72013025542
oct470306300
9181073570
1081890496
11422525a6
1223512400
1313c72a1c
14ac39692
1572c8cb6
hex4e18cc0

81890496 has 84 divisors (see below), whose sum is σ = 248561352. Its totient is φ = 25688064.

The previous prime is 81890483. The next prime is 81890527. The reversal of 81890496 is 69409818.

81890496 is a `hidden beast` number, since 81 + 89 + 0 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5611 + ... + 13973.

Almost surely, 281890496 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 81890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124280676).

81890496 is an abundant number, since it is smaller than the sum of its proper divisors (166670856).

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

81890496 is a wasteful number, since it uses less digits than its factorization.

81890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8398 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 81890496 is about 9049.3367712778. The cubic root of 81890496 is about 434.2546729561.

The spelling of 81890496 in words is "eighty-one million, eight hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 8363 9792 16726 25089 33452 50178 66904 75267 100356 133808 142171 150534 200712 267616 284342 301068 401424 426513 535232 568684 602136 802848 853026 1137368 1204272 1279539 1605696 1706052 2274736 2408544 2559078 3412104 4549472 4817088 5118156 6824208 9098944 10236312 13648416 20472624 27296832 40945248 81890496