Search a number
-
+
76648393 = 1741277397
BaseRepresentation
bin1001001000110…
…00111111001001
312100020010211101
410210120333021
5124110222033
611334501401
71620333463
oct444307711
9170203741
1076648393
113a2a2088
1221804861
1312b589a3
14a273133
156ae097d
hex4918fc9

76648393 has 16 divisors (see below), whose sum is σ = 83646864. Its totient is φ = 69949440.

The previous prime is 76648387. The next prime is 76648417. The reversal of 76648393 is 39384667.

It can be written as a sum of positive squares in 8 ways, for example, as 3853369 + 72795024 = 1963^2 + 8532^2 .

It is a cyclic number.

It is not a de Polignac number, because 76648393 - 221 = 74551241 is a prime.

It is a super-2 number, since 2×766483932 = 11749952298964898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76648373) by changing a digit.

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, 192871 + ... + 193267.

It is an arithmetic number, because the mean of its divisors is an integer number (5227929).

Almost surely, 276648393 is an apocalyptic number.

It is an amenable number.

76648393 is a deficient number, since it is larger than the sum of its proper divisors (6998471).

76648393 is a wasteful number, since it uses less digits than its factorization.

76648393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732.

The product of its digits is 653184, while the sum is 46.

The square root of 76648393 is about 8754.9067956204. The cubic root of 76648393 is about 424.7835446785.

The spelling of 76648393 in words is "seventy-six million, six hundred forty-eight thousand, three hundred ninety-three".

Divisors: 1 17 41 277 397 697 4709 6749 11357 16277 109969 193069 276709 1869473 4508729 76648393