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481430900 = 22525698461
BaseRepresentation
bin11100101100100…
…000110101110100
31020112220020001002
4130230200311310
51441221242100
6115434422432
714634044426
oct3454406564
91215806032
10481430900
11227834185
12115291a18
1378983072
1447d20816
152c3eb2d5
hex1cb20d74

481430900 has 36 divisors (see below), whose sum is σ = 1046664780. Its totient is φ = 192211200.

The previous prime is 481430869. The next prime is 481430921. The reversal of 481430900 is 9034184.

It can be written as a sum of positive squares in 6 ways, for example, as 9498724 + 471932176 = 3082^2 + 21724^2 .

It is a super-2 number, since 2×4814309002 = 463551422949620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52670 + ... + 61130.

Almost surely, 2481430900 is an apocalyptic number.

It is an amenable number.

481430900 is an abundant number, since it is smaller than the sum of its proper divisors (565233880).

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

481430900 is a wasteful number, since it uses less digits than its factorization.

481430900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9044 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 481430900 is about 21941.5336747457. The cubic root of 481430900 is about 783.7507819732.

The spelling of 481430900 in words is "four hundred eighty-one million, four hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 569 1138 2276 2845 5690 8461 11380 14225 16922 28450 33844 42305 56900 84610 169220 211525 423050 846100 4814309 9628618 19257236 24071545 48143090 96286180 120357725 240715450 481430900