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76507704 = 233271311677
BaseRepresentation
bin1001000111101…
…10101000111000
312022221222211200
410203312220320
5124041221304
611331454200
71616206350
oct443665070
9168858750
1076507704
113a206409
1221757360
1312b09940
14a237b60
156ab3e39
hex48f6a38

76507704 has 96 divisors (see below), whose sum is σ = 255047520. Its totient is φ = 20176128.

The previous prime is 76507703. The next prime is 76507733. The reversal of 76507704 is 40770567.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76507703) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 714 + ... + 12390.

It is an arithmetic number, because the mean of its divisors is an integer number (2656745).

Almost surely, 276507704 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 76507704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127523760).

76507704 is an abundant number, since it is smaller than the sum of its proper divisors (178539816).

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

76507704 is a wasteful number, since it uses less digits than its factorization.

76507704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11709 (or 11702 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 76507704 is about 8746.8682395472. The cubic root of 76507704 is about 424.5234871529.

The spelling of 76507704 in words is "seventy-six million, five hundred seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 11677 23354 35031 46708 70062 81739 93416 105093 140124 151801 163478 210186 245217 280248 303602 326956 420372 455403 490434 607204 653912 735651 840744 910806 980868 1062607 1214408 1366209 1471302 1821612 1961736 2125214 2732418 2942604 3187821 3643224 4250428 5464836 5885208 6375642 8500856 9563463 10929672 12751284 19126926 25502568 38253852 76507704