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468188964 = 22336416763
BaseRepresentation
bin11011111001111…
…111111100100100
31012121222110112000
4123321333330210
51424324021324
6114242525300
714413353255
oct3371777444
91177873460
10468188964
1122030a331
12110966830
1375cc79b9
1446274b2c
152b1829c9
hex1be7ff24

468188964 has 48 divisors (see below), whose sum is σ = 1215896640. Its totient is φ = 155796480.

The previous prime is 468188953. The next prime is 468188971. The reversal of 468188964 is 469881864.

It is a super-2 number, since 2×4681889642 = 438401812022786592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 468188964.

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, 65847 + ... + 72609.

It is an arithmetic number, because the mean of its divisors is an integer number (25331180).

Almost surely, 2468188964 is an apocalyptic number.

It is an amenable number.

468188964 is an abundant number, since it is smaller than the sum of its proper divisors (747707676).

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

468188964 is a wasteful number, since it uses less digits than its factorization.

468188964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417 (or 7409 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 468188964 is about 21637.6746440092. The cubic root of 468188964 is about 776.4980882215.

The spelling of 468188964 in words is "four hundred sixty-eight million, one hundred eighty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 641 1282 1923 2564 3846 5769 6763 7692 11538 13526 17307 20289 23076 27052 34614 40578 60867 69228 81156 121734 182601 243468 365202 730404 4335083 8670166 13005249 17340332 26010498 39015747 52020996 78031494 117047241 156062988 234094482 468188964