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76793056 = 253779821
BaseRepresentation
bin1001001001111…
…00010011100000
312100111111021021
410210330103200
5124124334211
611341535224
71621505314
oct444742340
9170444237
1076793056
113a39083a
1221874514
1312ba97a2
14a2adb44
156b1d771
hex493c4e0

76793056 has 48 divisors (see below), whose sum is σ = 157429440. Its totient is φ = 36840960.

The previous prime is 76793047. The next prime is 76793069. The reversal of 76793056 is 65039767.

It is a super-4 number, since 4×767930564 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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, 93126 + ... + 93946.

It is an arithmetic number, because the mean of its divisors is an integer number (3279780).

Almost surely, 276793056 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 76793056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78714720).

76793056 is an abundant number, since it is smaller than the sum of its proper divisors (80636384).

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

76793056 is a wasteful number, since it uses less digits than its factorization.

76793056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 43.

The square root of 76793056 is about 8763.1647251435. The cubic root of 76793056 is about 425.0506163475.

The spelling of 76793056 in words is "seventy-six million, seven hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 74 79 148 158 296 316 592 632 821 1184 1264 1642 2528 2923 3284 5846 6568 11692 13136 23384 26272 30377 46768 60754 64859 93536 121508 129718 243016 259436 486032 518872 972064 1037744 2075488 2399783 4799566 9599132 19198264 38396528 76793056