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76819056 = 24317472003
BaseRepresentation
bin1001001010000…
…10101001110000
312100112210221020
410211002221300
5124131202211
611342255440
71621644156
oct445025160
9170483836
1076819056
113a3a9326
1221887580
1312bb8582
14a2b93d6
156b26306
hex4942a70

76819056 has 80 divisors (see below), whose sum is σ = 214700544. Its totient is φ = 23575552.

The previous prime is 76819037. The next prime is 76819081. The reversal of 76819056 is 65091867.

It is a super-2 number, since 2×768190562 = 11802334729462272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76818999 and 76819017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37351 + ... + 39353.

Almost surely, 276819056 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 76819056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107350272).

76819056 is an abundant number, since it is smaller than the sum of its proper divisors (137881488).

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

76819056 is a wasteful number, since it uses less digits than its factorization.

76819056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 76819056 is about 8764.6480819255. The cubic root of 76819056 is about 425.0985810534.

The spelling of 76819056 in words is "seventy-six million, eight hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 376 408 564 752 799 816 1128 1598 2003 2256 2397 3196 4006 4794 6009 6392 8012 9588 12018 12784 16024 19176 24036 32048 34051 38352 48072 68102 94141 96144 102153 136204 188282 204306 272408 282423 376564 408612 544816 564846 753128 817224 1129692 1506256 1600397 1634448 2259384 3200794 4518768 4801191 6401588 9602382 12803176 19204764 25606352 38409528 76819056