Search a number
-
+
76414325 = 52131911231
BaseRepresentation
bin1001000110111…
…11110101110101
312022210020202012
410203133311311
5124030224300
611325454005
71615340201
oct443376565
9168706665
1076414325
113a152239
1221711305
1312aa62a0
14a211b01
156a96435
hex48dfd75

76414325 has 24 divisors (see below), whose sum is σ = 102660096. Its totient is φ = 56088000.

The previous prime is 76414321. The next prime is 76414343. The reversal of 76414325 is 52341467.

It is not a de Polignac number, because 76414325 - 22 = 76414321 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (20160) is a multiple of the sum of its prime divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 76414291 and 76414300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76414321) 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 23 ways as a sum of consecutive naturals, for example, 61460 + ... + 62690.

It is an arithmetic number, because the mean of its divisors is an integer number (4277504).

Almost surely, 276414325 is an apocalyptic number.

It is an amenable number.

76414325 is a deficient number, since it is larger than the sum of its proper divisors (26245771).

76414325 is a wasteful number, since it uses less digits than its factorization.

76414325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1440 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 76414325 is about 8741.5287564590. The cubic root of 76414325 is about 424.3507040416.

The spelling of 76414325 in words is "seventy-six million, four hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 5 13 25 65 191 325 955 1231 2483 4775 6155 12415 16003 30775 62075 80015 235121 400075 1175605 3056573 5878025 15282865 76414325