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81835376 = 2471973709
BaseRepresentation
bin1001110000010…
…11010101110000
312200222200000212
410320023111300
5131422213001
612042003252
72012406050
oct470132560
9180880025
1081835376
1142215147
12234a6528
1313c538cc
14ac23560
1572b77bb
hex4e0b570

81835376 has 40 divisors (see below), whose sum is σ = 182175840. Its totient is φ = 34884864.

The previous prime is 81835373. The next prime is 81835387. The reversal of 81835376 is 67353818.

It is a super-2 number, since 2×818353762 = 13394057530122752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81835373) 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, 20210 + ... + 23918.

It is an arithmetic number, because the mean of its divisors is an integer number (4554396).

Almost surely, 281835376 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 81835376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91087920).

81835376 is an abundant number, since it is smaller than the sum of its proper divisors (100340464).

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

81835376 is a wasteful number, since it uses less digits than its factorization.

81835376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3915 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 81835376 is about 9046.2907315651. The cubic root of 81835376 is about 434.1572196855.

The spelling of 81835376 in words is "eighty-one million, eight hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 197 394 788 1379 1576 2758 3152 3709 5516 7418 11032 14836 22064 25963 29672 51926 59344 103852 207704 415408 730673 1461346 2922692 5114711 5845384 10229422 11690768 20458844 40917688 81835376