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480928788 = 223213359133
BaseRepresentation
bin11100101010100…
…110010000010100
31020111221201021100
4130222212100110
51441104210123
6115415550100
714626553514
oct3452462024
91214851240
10480928788
11227520a0a
1211508b330
1378838662
1447c2d844
152c34c643
hex1caa6414

480928788 has 18 divisors (see below), whose sum is σ = 1215681194. Its totient is φ = 160309584.

The previous prime is 480928757. The next prime is 480928829. The reversal of 480928788 is 887829084.

480928788 is a `hidden beast` number, since 480 + 9 + 2 + 87 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 452923524 + 28005264 = 21282^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×4809287883 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6679531 + ... + 6679602.

Almost surely, 2480928788 is an apocalyptic number.

It is an amenable number.

480928788 is an abundant number, since it is smaller than the sum of its proper divisors (734752406).

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

480928788 is a wasteful number, since it uses less digits than its factorization.

480928788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13359143 (or 13359138 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 480928788 is about 21930.0886455117. The cubic root of 480928788 is about 783.4782142563.

The spelling of 480928788 in words is "four hundred eighty million, nine hundred twenty-eight thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 13359133 26718266 40077399 53436532 80154798 120232197 160309596 240464394 480928788