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485310672 = 2432711223173
BaseRepresentation
bin11100111011010…
…100000011010000
31020211012100002100
4130323110003100
51443214420142
6120053520400
715012033630
oct3473240320
91224170070
10485310672
11229a44100
12116643100
1379710ca2
14486506c0
152c915b4c
hex1ced40d0

485310672 has 360 divisors, whose sum is σ = 1790635392. Its totient is φ = 119877120.

The previous prime is 485310647. The next prime is 485310719. The reversal of 485310672 is 276013584.

485310672 is a `hidden beast` number, since 485 + 3 + 106 + 72 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2805178 + ... + 2805350.

Almost surely, 2485310672 is an apocalyptic number.

485310672 is a gapful number since it is divisible by the number (42) 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 485310672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895317696).

485310672 is an abundant number, since it is smaller than the sum of its proper divisors (1305324720).

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

485310672 is a wasteful number, since it uses less digits than its factorization.

485310672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 485310672 is about 22029.7678607833. The cubic root of 485310672 is about 785.8505241852.

The spelling of 485310672 in words is "four hundred eighty-five million, three hundred ten thousand, six hundred seventy-two".