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76135048 = 23113767349
BaseRepresentation
bin1001000100110…
…11101010001000
312022021001122121
410202123222020
5123442310143
611315501024
71613065033
oct442335210
9168231577
1076135048
1139a81430
12215b7774
1312a09132
14a17c01a
156a3d7ed
hex489ba88

76135048 has 64 divisors (see below), whose sum is σ = 162792000. Its totient is φ = 33073920.

The previous prime is 76135043. The next prime is 76135049. The reversal of 76135048 is 84053167.

It is not an unprimeable number, because it can be changed into a prime (76135043) 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 15 ways as a sum of consecutive naturals, for example, 217978 + ... + 218326.

It is an arithmetic number, because the mean of its divisors is an integer number (2543625).

Almost surely, 276135048 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 76135048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81396000).

76135048 is an abundant number, since it is smaller than the sum of its proper divisors (86656952).

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

76135048 is a wasteful number, since it uses less digits than its factorization.

76135048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 76135048 is about 8725.5399832904. The cubic root of 76135048 is about 423.8331044823.

The spelling of 76135048 in words is "seventy-six million, one hundred thirty-five thousand, forty-eight".

Divisors: 1 2 4 8 11 22 37 44 67 74 88 134 148 268 296 349 407 536 698 737 814 1396 1474 1628 2479 2792 2948 3256 3839 4958 5896 7678 9916 12913 15356 19832 23383 25826 27269 30712 46766 51652 54538 93532 103304 109076 142043 187064 218152 257213 284086 514426 568172 865171 1028852 1136344 1730342 2057704 3460684 6921368 9516881 19033762 38067524 76135048