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76081536 = 2732211313
BaseRepresentation
bin1001000100011…
…10100110000000
312022011100020200
410202032212000
5123434102121
611314405200
71612453026
oct442164600
9168140220
1076081536
1139a45203
1221590800
13129ba97b
14a166716
156a2ca26
hex488e980

76081536 has 96 divisors (see below), whose sum is σ = 220672920. Its totient is φ = 25159680.

The previous prime is 76081507. The next prime is 76081543. The reversal of 76081536 is 63518067.

76081536 is a `hidden beast` number, since 7 + 608 + 15 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76081536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242916 + ... + 243228.

Almost surely, 276081536 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 76081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110336460).

76081536 is an abundant number, since it is smaller than the sum of its proper divisors (144591384).

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

76081536 is a wasteful number, since it uses less digits than its factorization.

76081536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76081536 is about 8722.4730438105. The cubic root of 76081536 is about 423.7337832831.

The spelling of 76081536 in words is "seventy-six million, eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 288 313 384 422 576 626 633 844 939 1152 1252 1266 1688 1878 1899 2504 2532 2817 3376 3756 3798 5008 5064 5634 6752 7512 7596 10016 10128 11268 13504 15024 15192 20032 20256 22536 27008 30048 30384 40064 40512 45072 60096 60768 66043 81024 90144 120192 121536 132086 180288 198129 243072 264172 360576 396258 528344 594387 792516 1056688 1188774 1585032 2113376 2377548 3170064 4226752 4755096 6340128 8453504 9510192 12680256 19020384 25360512 38040768 76081536