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76000096 = 2523313331
BaseRepresentation
bin1001000011110…
…10101101100000
312022000012112101
410201322231200
5123424000341
611312540144
71611663424
oct441725540
9168005471
1076000096
1139999aa7
1221551654
131298c893
14a144b84
156a13831
hex487ab60

76000096 has 48 divisors (see below), whose sum is σ = 161215488. Its totient is φ = 35164800.

The previous prime is 76000091. The next prime is 76000117. The reversal of 76000096 is 69000067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76000091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21151 + ... + 24481.

It is an arithmetic number, because the mean of its divisors is an integer number (3358656).

Almost surely, 276000096 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 76000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80607744).

76000096 is an abundant number, since it is smaller than the sum of its proper divisors (85215392).

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

76000096 is a wasteful number, since it uses less digits than its factorization.

76000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 76000096 is about 8717.8033930572. The cubic root of 76000096 is about 423.5825367759.

The spelling of 76000096 in words is "seventy-six million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2852 3331 5704 6662 11408 13324 22816 26648 53296 76613 103261 106592 153226 206522 306452 413044 612904 826088 1225808 1652176 2375003 2451616 3304352 4750006 9500012 19000024 38000048 76000096