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76494016 = 2617167421
BaseRepresentation
bin1001000111100…
…11010011000000
312022221022001201
410203303103000
5124040302031
611331310544
71616121424
oct443632300
9168838051
1076494016
113a1a70a5
122174b454
1312b03641
14a232b84
156aaed61
hex48f34c0

76494016 has 56 divisors (see below), whose sum is σ = 162068256. Its totient is φ = 35696640.

The previous prime is 76494013. The next prime is 76494029. The reversal of 76494016 is 61049467.

It is not an unprimeable number, because it can be changed into a prime (76494013) 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, 181486 + ... + 181906.

It is an arithmetic number, because the mean of its divisors is an integer number (2894076).

Almost surely, 276494016 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 76494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81034128).

76494016 is an abundant number, since it is smaller than the sum of its proper divisors (85574240).

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

76494016 is a wasteful number, since it uses less digits than its factorization.

76494016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 76494016 is about 8746.0857530669. The cubic root of 76494016 is about 424.4981684649.

The spelling of 76494016 in words is "seventy-six million, four hundred ninety-four thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 167 272 334 421 544 668 842 1088 1336 1684 2672 2839 3368 5344 5678 6736 7157 10688 11356 13472 14314 22712 26944 28628 45424 57256 70307 90848 114512 140614 181696 229024 281228 458048 562456 1124912 1195219 2249824 2390438 4499648 4780876 9561752 19123504 38247008 76494016