Search a number
-
+
456382979 = 13226910039
BaseRepresentation
bin11011001100111…
…101101000000011
31011210202122202022
4123030331220003
51413313223404
6113141512055
714211122423
oct3314755003
91153678668
10456382979
11214686318
12108a1262b
1373723100
1444880483
152a0ee8be
hex1b33da03

456382979 has 12 divisors (see below), whose sum is σ = 496076400. Its totient is φ = 419668704.

The previous prime is 456382973. The next prime is 456382981. The reversal of 456382979 is 979283654.

It is a happy number.

It is not a de Polignac number, because 456382979 - 28 = 456382723 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456382979.

It is not an unprimeable number, because it can be changed into a prime (456382973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40442 + ... + 50480.

It is an arithmetic number, because the mean of its divisors is an integer number (41339700).

Almost surely, 2456382979 is an apocalyptic number.

456382979 is a deficient number, since it is larger than the sum of its proper divisors (39693421).

456382979 is a wasteful number, since it uses less digits than its factorization.

456382979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334 (or 10321 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 53.

The square root of 456382979 is about 21363.1219394544. The cubic root of 456382979 is about 769.9156477001.

The spelling of 456382979 in words is "four hundred fifty-six million, three hundred eighty-two thousand, nine hundred seventy-nine".

Divisors: 1 13 169 269 3497 10039 45461 130507 1696591 2700491 35106383 456382979