Search a number
-
+
77740431 = 343602639
BaseRepresentation
bin1001010001000…
…11100110001111
312102021121211020
410220203212033
5124400143211
611414125223
71632532326
oct450434617
9172247736
1077740431
113a97859a
1222050813
131314ba72
14a4790bd
156c59306
hex4a2398f

77740431 has 8 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 50621592.

The previous prime is 77740427. The next prime is 77740447. The reversal of 77740431 is 13404777.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 77740431 - 22 = 77740427 is a prime.

It is a super-2 number, since 2×777404312 = 12087149224131522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77740392 and 77740401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77740451) 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 7 ways as a sum of consecutive naturals, for example, 301191 + ... + 301448.

It is an arithmetic number, because the mean of its divisors is an integer number (13258080).

Almost surely, 277740431 is an apocalyptic number.

77740431 is a deficient number, since it is larger than the sum of its proper divisors (28324209).

77740431 is a wasteful number, since it uses less digits than its factorization.

77740431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602685.

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 77740431 is about 8817.0534193686. The cubic root of 77740431 is about 426.7913885734.

The spelling of 77740431 in words is "seventy-seven million, seven hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 43 129 602639 1807917 25913477 77740431