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81077152 = 2513316287
BaseRepresentation
bin1001101010100…
…10001110100000
312122120010221111
410311102032200
5131223432102
612013433104
72003100352
oct465221640
9178503844
1081077152
1141847512
122319b794
1313a49760
14aaa70d2
1571b7cd7
hex4d523a0

81077152 has 48 divisors (see below), whose sum is σ = 177472512. Its totient is φ = 36207360.

The previous prime is 81077149. The next prime is 81077153. The reversal of 81077152 is 25177018.

It is a happy number.

It is a super-2 number, since 2×810771522 = 13147009152862208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (81077153) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9753 + ... + 16039.

It is an arithmetic number, because the mean of its divisors is an integer number (3697344).

Almost surely, 281077152 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 81077152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88736256).

81077152 is an abundant number, since it is smaller than the sum of its proper divisors (96395360).

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

81077152 is a wasteful number, since it uses less digits than its factorization.

81077152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 81077152 is about 9004.2852020580. The cubic root of 81077152 is about 432.8122008808.

The spelling of 81077152 in words is "eighty-one million, seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6287 6448 12574 12896 25148 50296 81731 100592 163462 194897 201184 326924 389794 653848 779588 1307696 1559176 2533661 2615392 3118352 5067322 6236704 10134644 20269288 40538576 81077152