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481142992 = 241110127067
BaseRepresentation
bin11100101011011…
…010100011010000
31020112100121002211
4130223122203100
51441133033432
6115424321504
714631435151
oct3453324320
91215317084
10481142992
11227657940
12115173294
13788b1cc5
1447c87928
152c390d47
hex1cada8d0

481142992 has 40 divisors (see below), whose sum is σ = 1027068192. Its totient is φ = 216528000.

The previous prime is 481142951. The next prime is 481142999. The reversal of 481142992 is 299241184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481142999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4243 + ... + 31309.

Almost surely, 2481142992 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 481142992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513534096).

481142992 is an abundant number, since it is smaller than the sum of its proper divisors (545925200).

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

481142992 is a wasteful number, since it uses less digits than its factorization.

481142992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27187 (or 27181 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 481142992 is about 21934.9718942150. The cubic root of 481142992 is about 783.5945164765.

The spelling of 481142992 in words is "four hundred eighty-one million, one hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 8888 17776 27067 54134 108268 216536 297737 433072 595474 1190948 2381896 2733767 4763792 5467534 10935068 21870136 30071437 43740272 60142874 120285748 240571496 481142992