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485738496 = 2113219273
BaseRepresentation
bin11100111100111…
…100100000000000
31020212000001221200
4130330330200000
51443322112441
6120111021200
715015465135
oct3474744000
91225001850
10485738496
1122a206581
1211680a800
1379830939
144872258c
152c99c7b6
hex1cf3c800

485738496 has 216 divisors, whose sum is σ = 1500907590. Its totient is φ = 151289856.

The previous prime is 485738483. The next prime is 485738509. The reversal of 485738496 is 694837584.

485738496 is a `hidden beast` number, since 4 + 85 + 73 + 8 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (485738483) and next prime (485738509).

It can be written as a sum of positive squares in only one way, i.e., 402564096 + 83174400 = 20064^2 + 9120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6653916 + ... + 6653988.

Almost surely, 2485738496 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 485738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750453795).

485738496 is an abundant number, since it is smaller than the sum of its proper divisors (1015169094).

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

485738496 is a wasteful number, since it uses less digits than its factorization.

485738496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 97 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 485738496 is about 22039.4758558365. The cubic root of 485738496 is about 786.0813776630.

The spelling of 485738496 in words is "four hundred eighty-five million, seven hundred thirty-eight thousand, four hundred ninety-six".