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76134772 = 22717307521
BaseRepresentation
bin1001000100110…
…11100101110100
312022021001021101
410202123211310
5123442303042
611315455444
71613064160
oct442334564
9168231241
1076134772
1139a811aa
12215b7584
1312a08c7c
14a17bca0
156a3d6b7
hex489b974

76134772 has 48 divisors (see below), whose sum is σ = 162062208. Its totient is φ = 30551040.

The previous prime is 76134763. The next prime is 76134781. The reversal of 76134772 is 27743167.

It is an interprime number because it is at equal distance from previous prime (76134763) and next prime (76134781).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145872 + ... + 146392.

It is an arithmetic number, because the mean of its divisors is an integer number (3376296).

Almost surely, 276134772 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 76134772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81031104).

76134772 is an abundant number, since it is smaller than the sum of its proper divisors (85927436).

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

76134772 is a wasteful number, since it uses less digits than its factorization.

76134772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its digits is 49392, while the sum is 37.

The square root of 76134772 is about 8725.5241676360. The cubic root of 76134772 is about 423.8325923306.

The spelling of 76134772 in words is "seventy-six million, one hundred thirty-four thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 307 476 521 614 1042 1228 2084 2149 3647 4298 5219 7294 8596 8857 10438 14588 17714 20876 35428 36533 61999 73066 123998 146132 159947 247996 319894 639788 1119629 2239258 2719099 4478516 5438198 10876396 19033693 38067386 76134772