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485598240 = 2534589421
BaseRepresentation
bin11100111100011…
…010010000100000
31020211201221120000
4130330122100200
51443303120430
6120104020000
715014342211
oct3474322040
91224657500
10485598240
1122a120166
12116761600
13797b1b4a
14486c7408
152c970e60
hex1cf1a420

485598240 has 240 divisors, whose sum is σ = 1737129240. Its totient is φ = 127733760.

The previous prime is 485598221. The next prime is 485598271. The reversal of 485598240 is 42895584.

485598240 is a `hidden beast` number, since 485 + 59 + 82 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147185424 + 338412816 = 12132^2 + 18396^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1153230 + ... + 1153650.

Almost surely, 2485598240 is an apocalyptic number.

485598240 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 485598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868564620).

485598240 is an abundant number, since it is smaller than the sum of its proper divisors (1251531000).

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

485598240 is a wasteful number, since it uses less digits than its factorization.

485598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 485598240 is about 22036.2936992590. The cubic root of 485598240 is about 786.0057105814.

The spelling of 485598240 in words is "four hundred eighty-five million, five hundred ninety-eight thousand, two hundred forty".