Search a number
-
+
468026728 = 2313171012621
BaseRepresentation
bin11011111001011…
…000010101101000
31012121200012222021
4123321120111220
51424303323403
6114235234224
714412106261
oct3371302550
91177605867
10468026728
11220209454
121108a8974
1375c6bbc0
1446231968
152b14e8bd
hex1be58568

468026728 has 64 divisors (see below), whose sum is σ = 1010938320. Its totient is φ = 201216000.

The previous prime is 468026717. The next prime is 468026759. The reversal of 468026728 is 827620864.

It can be written as a sum of positive squares in 8 ways, for example, as 408767524 + 59259204 = 20218^2 + 7698^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177258 + ... + 179878.

Almost surely, 2468026728 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 468026728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505469160).

468026728 is an abundant number, since it is smaller than the sum of its proper divisors (542911592).

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

468026728 is a wasteful number, since it uses less digits than its factorization.

468026728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 468026728 is about 21633.9253950826. The cubic root of 468026728 is about 776.4083876181.

The spelling of 468026728 in words is "four hundred sixty-eight million, twenty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 101 104 136 202 221 404 442 808 884 1313 1717 1768 2621 2626 3434 5242 5252 6868 10484 10504 13736 20968 22321 34073 44557 44642 68146 89114 89284 136292 178228 178568 264721 272584 356456 529442 579241 1058884 1158482 2117768 2316964 3441373 4500257 4633928 6882746 9000514 13765492 18001028 27530984 36002056 58503341 117006682 234013364 468026728