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485909120 = 2754871559
BaseRepresentation
bin11100111101100…
…110001010000000
31020212022202000002
4130331212022000
51443343042440
6120114415132
715020105444
oct3475461200
91225282002
10485909120
1122a312794
121168914a8
13798904b8
1448768824
152c9d3115
hex1cf66280

485909120 has 64 divisors (see below), whose sum is σ = 1164758400. Its totient is φ = 193840128.

The previous prime is 485909093. The next prime is 485909167. The reversal of 485909120 is 21909584.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4859091202 = 472215345798348800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 310901 + ... + 312459.

It is an arithmetic number, because the mean of its divisors is an integer number (18199350).

Almost surely, 2485909120 is an apocalyptic number.

485909120 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 485909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582379200).

485909120 is an abundant number, since it is smaller than the sum of its proper divisors (678849280).

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

485909120 is a wasteful number, since it uses less digits than its factorization.

485909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 485909120 is about 22043.3463884230. The cubic root of 485909120 is about 786.1734084221.

The spelling of 485909120 in words is "four hundred eighty-five million, nine hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 487 640 974 1559 1948 2435 3118 3896 4870 6236 7792 7795 9740 12472 15584 15590 19480 24944 31168 31180 38960 49888 62336 62360 77920 99776 124720 155840 199552 249440 311680 498880 759233 997760 1518466 3036932 3796165 6073864 7592330 12147728 15184660 24295456 30369320 48590912 60738640 97181824 121477280 242954560 485909120