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481073868 = 2232117011733
BaseRepresentation
bin11100101011001…
…001101011001100
31020112020002021200
4130223021223030
51441123330433
6115423025500
714631026502
oct3453115314
91215202250
10481073868
1122760aa10
1211513b290
13788896c2
1447c6a672
152c37a613
hex1cac9acc

481073868 has 72 divisors (see below), whose sum is σ = 1329256656. Its totient is φ = 145488000.

The previous prime is 481073861. The next prime is 481073891. The reversal of 481073868 is 868370184.

It is not an unprimeable number, because it can be changed into a prime (481073861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276730 + ... + 278462.

It is an arithmetic number, because the mean of its divisors is an integer number (18461898).

Almost surely, 2481073868 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 481073868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664628328).

481073868 is an abundant number, since it is smaller than the sum of its proper divisors (848182788).

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

481073868 is a wasteful number, since it uses less digits than its factorization.

481073868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 481073868 is about 21933.3961802544. The cubic root of 481073868 is about 783.5569893225.

The spelling of 481073868 in words is "four hundred eighty-one million, seventy-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 701 1402 1733 2103 2804 3466 4206 5199 6309 6932 7711 8412 10398 12618 15422 15597 19063 20796 23133 25236 30844 31194 38126 46266 57189 62388 69399 76252 92532 114378 138798 171567 228756 277596 343134 686268 1214833 2429666 3644499 4859332 7288998 10933497 13363163 14577996 21866994 26726326 40089489 43733988 53452652 80178978 120268467 160357956 240536934 481073868