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81037768 = 2372613389
BaseRepresentation
bin1001101010010…
…00100111001000
312122111010220211
410311020213020
5131221202033
612012530504
72002544500
oct465104710
9178433824
1081037768
114181a969
1223180a34
1313a34856
14aa96a00
1571ab2cd
hex4d489c8

81037768 has 48 divisors (see below), whose sum is σ = 179703900. Its totient is φ = 34151040.

The previous prime is 81037741. The next prime is 81037783. The reversal of 81037768 is 86773018.

It can be written as a sum of positive squares in 2 ways, for example, as 81036004 + 1764 = 9002^2 + 42^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 81037768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22218 + ... + 25606.

Almost surely, 281037768 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 81037768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89851950).

81037768 is an abundant number, since it is smaller than the sum of its proper divisors (98666132).

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

81037768 is a wasteful number, since it uses less digits than its factorization.

81037768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 81037768 is about 9002.0979776939. The cubic root of 81037768 is about 432.7421086452.

The spelling of 81037768 in words is "eighty-one million, thirty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 392 427 488 854 1708 2989 3389 3416 5978 6778 11956 13556 23723 23912 27112 47446 94892 166061 189784 206729 332122 413458 664244 826916 1328488 1447103 1653832 2894206 5788412 10129721 11576824 20259442 40518884 81037768