Search a number
-
+
76036064 = 2513182779
BaseRepresentation
bin1001000100000…
…11011111100000
312022002000212112
410202003133200
5123431123224
611313414452
71612203326
oct442033740
9168060775
1076036064
1139a14025
122156a428
13129a3070
14a153d16
156a1e30e
hex48837e0

76036064 has 24 divisors (see below), whose sum is σ = 161211960. Its totient is φ = 35093376.

The previous prime is 76036063. The next prime is 76036067. The reversal of 76036064 is 46063067.

It is a super-2 number, since 2×760360642 = 11562966057224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 76036064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76036063) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 90974 + ... + 91805.

It is an arithmetic number, because the mean of its divisors is an integer number (6717165).

Almost surely, 276036064 is an apocalyptic number.

It is an amenable number.

76036064 is an abundant number, since it is smaller than the sum of its proper divisors (85175896).

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

76036064 is a wasteful number, since it uses less digits than its factorization.

76036064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182802 (or 182794 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 76036064 is about 8719.8660540171. The cubic root of 76036064 is about 423.6493481558.

The spelling of 76036064 in words is "seventy-six million, thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 182779 365558 731116 1462232 2376127 2924464 4752254 5848928 9504508 19009016 38018032 76036064