Search a number
-
+
456021969 = 313101115771
BaseRepresentation
bin11011001011100…
…101011111010001
31011210002022112120
4123023211133101
51413220200334
6113130044453
714205060054
oct3313453721
91153068476
10456021969
1121445a067
12108879729
13736279b0
14447c8a9b
152a07c949
hex1b2e57d1

456021969 has 16 divisors (see below), whose sum is σ = 661289664. Its totient is φ = 277848000.

The previous prime is 456021961. The next prime is 456022019. The reversal of 456021969 is 969120654.

It is a happy number.

It is not a de Polignac number, because 456021969 - 23 = 456021961 is a prime.

It is a super-2 number, since 2×4560219692 = 415912072421273922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456021969.

It is not an unprimeable number, because it can be changed into a prime (456021961) 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 15 ways as a sum of consecutive naturals, for example, 53947 + ... + 61824.

It is an arithmetic number, because the mean of its divisors is an integer number (41330604).

Almost surely, 2456021969 is an apocalyptic number.

It is an amenable number.

456021969 is a deficient number, since it is larger than the sum of its proper divisors (205267695).

456021969 is a wasteful number, since it uses less digits than its factorization.

456021969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115888.

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 456021969 is about 21354.6708942095. The cubic root of 456021969 is about 769.7125868348.

The spelling of 456021969 in words is "four hundred fifty-six million, twenty-one thousand, nine hundred sixty-nine".

Divisors: 1 3 13 39 101 303 1313 3939 115771 347313 1505023 4515069 11692871 35078613 152007323 456021969