Search a number
-
+
76809933 = 324125077
BaseRepresentation
bin1001001010000…
…00011011001101
312100112100102100
410211000123031
5124130404213
611342145313
71621605444
oct445003315
9170470370
1076809933
113a3a2492
1221882239
1312bb4385
14a2b5d5b
156b23773
hex49406cd

76809933 has 18 divisors (see below), whose sum is σ = 113742122. Its totient is φ = 49947840.

The previous prime is 76809923. The next prime is 76809959. The reversal of 76809933 is 33990867.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1432809 + 75377124 = 1197^2 + 8682^2 .

It is not a de Polignac number, because 76809933 - 26 = 76809869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76809923) 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 17 ways as a sum of consecutive naturals, for example, 12591 + ... + 17667.

Almost surely, 276809933 is an apocalyptic number.

It is an amenable number.

76809933 is a deficient number, since it is larger than the sum of its proper divisors (36932189).

76809933 is a wasteful number, since it uses less digits than its factorization.

76809933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 76809933 is about 8764.1276234432. The cubic root of 76809933 is about 425.0817522087.

The spelling of 76809933 in words is "seventy-six million, eight hundred nine thousand, nine hundred thirty-three".

Divisors: 1 3 9 41 123 369 1681 5043 5077 15129 15231 45693 208157 624471 1873413 8534437 25603311 76809933