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76066576 = 2419594241
BaseRepresentation
bin1001000100010…
…10111100010000
312022010120201121
410202022330100
5123433112301
611314212024
71612361305
oct442127420
9168116647
1076066576
1139a34a43
1221584014
13129b3c11
14a1610ac
156a283a1
hex488af10

76066576 has 40 divisors (see below), whose sum is σ = 157802400. Its totient is φ = 35412480.

The previous prime is 76066567. The next prime is 76066579. The reversal of 76066576 is 67566067.

It is a super-2 number, since 2×760665762 = 11572247968727552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76066579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15816 + ... + 20056.

It is an arithmetic number, because the mean of its divisors is an integer number (3945060).

Almost surely, 276066576 is an apocalyptic number.

76066576 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76066576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78901200).

76066576 is an abundant number, since it is smaller than the sum of its proper divisors (81735824).

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

76066576 is a wasteful number, since it uses less digits than its factorization.

76066576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The square root of 76066576 is about 8721.6154466933. The cubic root of 76066576 is about 423.7060083754.

The spelling of 76066576 in words is "seventy-six million, sixty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 472 944 1121 2242 4241 4484 8482 8968 16964 17936 33928 67856 80579 161158 250219 322316 500438 644632 1000876 1289264 2001752 4003504 4754161 9508322 19016644 38033288 76066576