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481032468 = 223279532003
BaseRepresentation
bin11100101010111…
…111100100010100
31020112010222111100
4130222333210110
51441121014333
6115422110100
714630465010
oct3452774424
91215128440
10481032468
112275918a4
1211511b330
13788738c7
1447c59540
152c36d213
hex1cabf914

481032468 has 72 divisors (see below), whose sum is σ = 1391802048. Its totient is φ = 137225088.

The previous prime is 481032421. The next prime is 481032469. The reversal of 481032468 is 864230184.

It is a super-3 number, since 3×4810324683 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481032469) 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, 239155 + ... + 241157.

It is an arithmetic number, because the mean of its divisors is an integer number (19330584).

Almost surely, 2481032468 is an apocalyptic number.

It is an amenable number.

481032468 is an abundant number, since it is smaller than the sum of its proper divisors (910769580).

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

481032468 is a wasteful number, since it uses less digits than its factorization.

481032468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 481032468 is about 21932.4523936563. The cubic root of 481032468 is about 783.5345117003.

The spelling of 481032468 in words is "four hundred eighty-one million, thirty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 953 1906 2003 2859 3812 4006 5718 6009 6671 8012 8577 11436 12018 13342 14021 17154 18027 20013 24036 26684 28042 34308 36054 40026 42063 56084 60039 72108 80052 84126 120078 126189 168252 240156 252378 504756 1908859 3817718 5726577 7635436 11453154 13362013 17179731 22906308 26724026 34359462 40086039 53448052 68718924 80172078 120258117 160344156 240516234 481032468