Search a number
-
+
451393956 = 223213964517
BaseRepresentation
bin11010111001111…
…011100110100100
31011110101012002200
4122321323212210
51411024101311
6112442534500
714120533236
oct3271734644
91143335080
10451393956
11211888a62
12107207430
1372697320
1443d42256
1529966556
hex1ae7b9a4

451393956 has 36 divisors (see below), whose sum is σ = 1228795932. Its totient is φ = 138890304.

The previous prime is 451393907. The next prime is 451393993. The reversal of 451393956 is 659393154.

It can be written as a sum of positive squares in 2 ways, for example, as 113422500 + 337971456 = 10650^2 + 18384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 481791 + ... + 482726.

Almost surely, 2451393956 is an apocalyptic number.

It is an amenable number.

451393956 is an abundant number, since it is smaller than the sum of its proper divisors (777401976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

451393956 is a wasteful number, since it uses less digits than its factorization.

451393956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964540 (or 964535 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 451393956 is about 21246.0338887050. The cubic root of 451393956 is about 767.0998772403.

The spelling of 451393956 in words is "four hundred fifty-one million, three hundred ninety-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 964517 1929034 2893551 3858068 5787102 8680653 11574204 12538721 17361306 25077442 34722612 37616163 50154884 75232326 112848489 150464652 225696978 451393956