Search a number
-
+
472588840 = 23515775253
BaseRepresentation
bin11100001010110…
…010001000101000
31012221021000000101
4130022302020220
51431440320330
6114521115144
714465640013
oct3412621050
91187230011
10472588840
11222844a99
12112328ab4
1376ba8589
1446a9c37a
152b7514ca
hex1c2b2228

472588840 has 32 divisors (see below), whose sum is σ = 1070111880. Its totient is φ = 187828992.

The previous prime is 472588829. The next prime is 472588841. The reversal of 472588840 is 48885274.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 377214084 + 95374756 = 19422^2 + 9766^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (472588841) 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 7 ways as a sum of consecutive naturals, for example, 31347 + ... + 43906.

Almost surely, 2472588840 is an apocalyptic number.

472588840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472588840 is an abundant number, since it is smaller than the sum of its proper divisors (597523040).

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

472588840 is a wasteful number, since it uses less digits than its factorization.

472588840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75421 (or 75417 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The square root of 472588840 is about 21739.1085373803. The cubic root of 472588840 is about 778.9229271578.

The spelling of 472588840 in words is "four hundred seventy-two million, five hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 75253 150506 301012 376265 602024 752530 1505060 3010120 11814721 23629442 47258884 59073605 94517768 118147210 236294420 472588840