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81947136 = 293311721
BaseRepresentation
bin1001110001001…
…10101000000000
312201012100100010
410320212220000
5131434302021
612044224520
72013352635
oct470465000
9181170303
1081947136
1142291107
122353b140
1313c9273b
14ac5218c
1572da976
hex4e26a00

81947136 has 80 divisors (see below), whose sum is σ = 225485568. Its totient is φ = 26419200.

The previous prime is 81947113. The next prime is 81947141. The reversal of 81947136 is 63174918.

It is a junction number, because it is equal to n+sod(n) for n = 81947094 and 81947103.

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, 46756 + ... + 48476.

Almost surely, 281947136 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 81947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112742784).

81947136 is an abundant number, since it is smaller than the sum of its proper divisors (143538432).

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

81947136 is a wasteful number, since it uses less digits than its factorization.

81947136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1757 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 81947136 is about 9052.4657414430. The cubic root of 81947136 is about 434.3547680724.

The spelling of 81947136 in words is "eighty-one million, nine hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1721 1984 2976 3442 3968 5163 5952 6884 7936 10326 11904 13768 15872 20652 23808 27536 41304 47616 53351 55072 82608 106702 110144 160053 165216 213404 220288 320106 330432 426808 440576 640212 660864 853616 881152 1280424 1321728 1707232 2560848 2643456 3414464 5121696 6828928 10243392 13657856 20486784 27315712 40973568 81947136