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76550496 = 25311711021
BaseRepresentation
bin1001001000000…
…01000101100000
312100001011112120
410210001011200
5124044103441
611332424240
71616445201
oct444010540
9170034476
1076550496
113a235580
1221778080
1312b23269
14a2495a8
156ac1966
hex4901160

76550496 has 96 divisors (see below), whose sum is σ = 222518016. Its totient is φ = 22848000.

The previous prime is 76550491. The next prime is 76550533. The reversal of 76550496 is 69405567.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76550491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74466 + ... + 75486.

It is an arithmetic number, because the mean of its divisors is an integer number (2317896).

Almost surely, 276550496 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 76550496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111259008).

76550496 is an abundant number, since it is smaller than the sum of its proper divisors (145967520).

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

76550496 is a wasteful number, since it uses less digits than its factorization.

76550496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 76550496 is about 8749.3140302540. The cubic root of 76550496 is about 424.6026200257.

Subtracting from 76550496 its reverse (69405567), we obtain a square (7144929 = 26732).

The spelling of 76550496 in words is "seventy-six million, five hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 1021 1056 1136 1562 1704 2042 2272 2343 3063 3124 3408 4084 4686 6126 6248 6816 8168 9372 11231 12252 12496 16336 18744 22462 24504 24992 32672 33693 37488 44924 49008 67386 72491 74976 89848 98016 134772 144982 179696 217473 269544 289964 359392 434946 539088 579928 797401 869892 1078176 1159856 1594802 1739784 2319712 2392203 3189604 3479568 4784406 6379208 6959136 9568812 12758416 19137624 25516832 38275248 76550496