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485166240 = 253351353163
BaseRepresentation
bin11100111010110…
…000110010100000
31020210220222222000
4130322300302200
51443200304430
6120050444000
715010562556
oct3472606240
91223828860
10485166240
11229955639
12116593600
1379690320
1448613bd6
152c8d7e60
hex1ceb0ca0

485166240 has 384 divisors, whose sum is σ = 1874638080. Its totient is φ = 116453376.

The previous prime is 485166239. The next prime is 485166271. The reversal of 485166240 is 42661584.

485166240 is a `hidden beast` number, since 48 + 516 + 62 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 485166195 and 485166204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2976399 + ... + 2976561.

It is an arithmetic number, because the mean of its divisors is an integer number (4881870).

Almost surely, 2485166240 is an apocalyptic number.

485166240 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 485166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937319040).

485166240 is an abundant number, since it is smaller than the sum of its proper divisors (1389471840).

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

485166240 is a wasteful number, since it uses less digits than its factorization.

485166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 485166240 is about 22026.4895069550. The cubic root of 485166240 is about 785.7725581653.

It can be divided in two parts, 48516 and 6240, that added together give a square (54756 = 2342).

The spelling of 485166240 in words is "four hundred eighty-five million, one hundred sixty-six thousand, two hundred forty".