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485475120 = 243551317113
BaseRepresentation
bin11100111011111…
…100001100110000
31020211111200200000
4130323330030300
51443240200440
6120101230000
715013320234
oct3473741460
91224450600
10485475120
1122a046709
12116702300
137976aab0
14486945c4
152c949730
hex1cefc330

485475120 has 480 divisors, whose sum is σ = 1945000512. Its totient is φ = 111476736.

The previous prime is 485475101. The next prime is 485475131. The reversal of 485475120 is 21574584.

485475120 is a `hidden beast` number, since 48 + 547 + 51 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4296184 + ... + 4296296.

Almost surely, 2485475120 is an apocalyptic number.

485475120 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 485475120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972500256).

485475120 is an abundant number, since it is smaller than the sum of its proper divisors (1459525392).

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

485475120 is a wasteful number, since it uses less digits than its factorization.

485475120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 485475120 is about 22033.4999489414. The cubic root of 485475120 is about 785.9392762365.

The spelling of 485475120 in words is "four hundred eighty-five million, four hundred seventy-five thousand, one hundred twenty".