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81950752 = 2513296793
BaseRepresentation
bin1001110001001…
…11100000100000
312201012112022001
410320213200200
5131434411002
612044253344
72013366322
oct470474040
9181175261
1081950752
11422938a4
1223541254
1313c94290
14ac53612
1572dba87
hex4e27820

81950752 has 48 divisors (see below), whose sum is σ = 179769240. Its totient is φ = 36513792.

The previous prime is 81950731. The next prime is 81950777. The reversal of 81950752 is 25705918.

It can be written as a sum of positive squares in 4 ways, for example, as 39388176 + 42562576 = 6276^2 + 6524^2 .

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, 8668 + ... + 15460.

Almost surely, 281950752 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 81950752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89884620).

81950752 is an abundant number, since it is smaller than the sum of its proper divisors (97818488).

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

81950752 is a wasteful number, since it uses less digits than its factorization.

81950752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 81950752 is about 9052.6654638289. The cubic root of 81950752 is about 434.3611567591.

The spelling of 81950752 in words is "eighty-one million, nine hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 6793 12064 13586 27172 54344 88309 108688 176618 196997 217376 353236 393994 706472 787988 1412944 1575976 2560961 2825888 3151952 5121922 6303904 10243844 20487688 40975376 81950752