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485752680 = 233357267137
BaseRepresentation
bin11100111100111…
…111111101101000
31020212000210102000
4130330333331220
51443323041210
6120111211000
715015554400
oct3474777550
91225023360
10485752680
1122a2161a6
12116816a60
137983722a
1448727800
152c9a1ac0
hex1cf3ff68

485752680 has 384 divisors, whose sum is σ = 1925596800. Its totient is φ = 108573696.

The previous prime is 485752667. The next prime is 485752681. The reversal of 485752680 is 86257584.

485752680 is a `hidden beast` number, since 48 + 5 + 7 + 526 + 80 = 666.

It is a super-2 number, since 2×4857526802 = 471911332254364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (485752681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3545572 + ... + 3545708.

It is an arithmetic number, because the mean of its divisors is an integer number (5014575).

Almost surely, 2485752680 is an apocalyptic number.

485752680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485752680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962798400).

485752680 is an abundant number, since it is smaller than the sum of its proper divisors (1439844120).

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

485752680 is a wasteful number, since it uses less digits than its factorization.

485752680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 485752680 is about 22039.7976397244. The cubic root of 485752680 is about 786.0890290157.

The spelling of 485752680 in words is "four hundred eighty-five million, seven hundred fifty-two thousand, six hundred eighty".