Search a number
-
+
1439049264 = 243312513853
BaseRepresentation
bin101010111000110…
…0010011000110000
310201021211021110220
41111301202120300
510421344034024
6354443453040
750442500622
oct12561423060
93637737426
101439049264
11679340014
12341b27180
1319c1a1653
14d9198c12
1586509e79
hex55c62630

1439049264 has 80 divisors (see below), whose sum is σ = 3853753344. Its totient is φ = 462240000.

The previous prime is 1439049253. The next prime is 1439049289. The reversal of 1439049264 is 4629409341.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 371562 + ... + 375414.

Almost surely, 21439049264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1439049264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926876672).

1439049264 is an abundant number, since it is smaller than the sum of its proper divisors (2414704080).

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

1439049264 is a wasteful number, since it uses less digits than its factorization.

1439049264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 1439049264 is about 37934.8028069212. The cubic root of 1439049264 is about 1128.9946586015.

The spelling of 1439049264 in words is "one billion, four hundred thirty-nine million, forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 251 372 496 502 744 753 1004 1488 1506 2008 3012 3853 4016 6024 7706 7781 11559 12048 15412 15562 23118 23343 30824 31124 46236 46686 61648 62248 92472 93372 119443 124496 184944 186744 238886 358329 373488 477772 716658 955544 967103 1433316 1911088 1934206 2866632 2901309 3868412 5733264 5802618 7736824 11605236 15473648 23210472 29980193 46420944 59960386 89940579 119920772 179881158 239841544 359762316 479683088 719524632 1439049264