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485643648 = 27371937257
BaseRepresentation
bin11100111100100…
…101010110000000
31020211211020211210
4130330211112000
51443311044043
6120105010120
715014621460
oct3474452600
91224736753
10485643648
1122a151296
12116783940
13797c9709
14486d9ba0
152c97e633
hex1cf25580

485643648 has 256 divisors, whose sum is σ = 1600012800. Its totient is φ = 127401984.

The previous prime is 485643619. The next prime is 485643649. The reversal of 485643648 is 846346584.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 485643597 and 485643606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485643649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1889536 + ... + 1889792.

It is an arithmetic number, because the mean of its divisors is an integer number (6250050).

Almost surely, 2485643648 is an apocalyptic number.

485643648 is a gapful number since it is divisible by the number (48) 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 485643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800006400).

485643648 is an abundant number, since it is smaller than the sum of its proper divisors (1114369152).

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

485643648 is a wasteful number, since it uses less digits than its factorization.

485643648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 485643648 is about 22037.3239754740. The cubic root of 485643648 is about 786.0302094586.

The spelling of 485643648 in words is "four hundred eighty-five million, six hundred forty-three thousand, six hundred forty-eight".