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81309756 = 223112712273
BaseRepresentation
bin1001101100010…
…11000000111100
312122222222000110
410312023000330
5131303403011
612022430020
72005056453
oct466130074
9178888013
1081309756
1141996250
1223292310
1313acb5a8
14ab27b9a
157211ba6
hex4d8b03c

81309756 has 48 divisors (see below), whose sum is σ = 207825408. Its totient is φ = 24537600.

The previous prime is 81309743. The next prime is 81309769. The reversal of 81309756 is 65790318.

It is an interprime number because it is at equal distance from previous prime (81309743) and next prime (81309769).

It is a super-2 number, since 2×813097562 = 13222552841559072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34636 + ... + 36908.

It is an arithmetic number, because the mean of its divisors is an integer number (4329696).

Almost surely, 281309756 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 81309756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103912704).

81309756 is an abundant number, since it is smaller than the sum of its proper divisors (126515652).

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

81309756 is a wasteful number, since it uses less digits than its factorization.

81309756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 81309756 is about 9017.1922459267. The cubic root of 81309756 is about 433.2257071306.

The spelling of 81309756 in words is "eighty-one million, three hundred nine thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 271 542 813 1084 1626 2273 2981 3252 4546 5962 6819 8943 9092 11924 13638 17886 25003 27276 35772 50006 75009 100012 150018 300036 615983 1231966 1847949 2463932 3695898 6775813 7391796 13551626 20327439 27103252 40654878 81309756