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76127716 = 22743531193
BaseRepresentation
bin1001000100110…
…01110111100100
312022020200121001
410202121313210
5123442041331
611315403044
71613034460
oct442316744
9168220531
1076127716
1139a76975
12215b3484
1312a059b2
14a1794a0
156a3b561
hex4899de4

76127716 has 48 divisors (see below), whose sum is σ = 158868864. Its totient is φ = 31239936.

The previous prime is 76127669. The next prime is 76127729. The reversal of 76127716 is 61772167.

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, 63216 + ... + 64408.

It is an arithmetic number, because the mean of its divisors is an integer number (3309768).

Almost surely, 276127716 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 76127716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79434432).

76127716 is an abundant number, since it is smaller than the sum of its proper divisors (82741148).

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

76127716 is a wasteful number, since it uses less digits than its factorization.

76127716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1298 counting only the distinct ones).

The product of its digits is 24696, while the sum is 37.

The square root of 76127716 is about 8725.1198272574. The cubic root of 76127716 is about 423.8194986412.

The spelling of 76127716 in words is "seventy-six million, one hundred twenty-seven thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 43 53 86 106 172 212 301 371 602 742 1193 1204 1484 2279 2386 4558 4772 8351 9116 15953 16702 31906 33404 51299 63229 63812 102598 126458 205196 252916 359093 442603 718186 885206 1436372 1770412 2718847 5437694 10875388 19031929 38063858 76127716