Search a number
-
+
76378101 = 3233729917
BaseRepresentation
bin1001000110101…
…10111111110101
312022201102001120
410203112333311
5124023044401
611325014153
71615126452
oct443267765
9168642046
1076378101
113a127aa8
12216b4359
1312a92957
14a202829
156a8a836
hex48d6ff5

76378101 has 16 divisors (see below), whose sum is σ = 109140864. Its totient is φ = 47386944.

The previous prime is 76378063. The next prime is 76378103. The reversal of 76378101 is 10187367.

It is not a de Polignac number, because 76378101 - 214 = 76361717 is a prime.

It is a super-2 number, since 2×763781012 = 11667228624732402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76378103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12406 + ... + 17511.

It is an arithmetic number, because the mean of its divisors is an integer number (6821304).

Almost surely, 276378101 is an apocalyptic number.

It is an amenable number.

76378101 is a deficient number, since it is larger than the sum of its proper divisors (32762763).

76378101 is a wasteful number, since it uses less digits than its factorization.

76378101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29980.

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 76378101 is about 8739.4565620524. The cubic root of 76378101 is about 424.2836393496.

The spelling of 76378101 in words is "seventy-six million, three hundred seventy-eight thousand, one hundred one".

Divisors: 1 3 23 37 69 111 851 2553 29917 89751 688091 1106929 2064273 3320787 25459367 76378101