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485610000 = 2435416187
BaseRepresentation
bin11100111100011…
…101001000010000
31020211202112200120
4130330131020100
51443304010000
6120104150240
715014421411
oct3474351020
91224675616
10485610000
1122a128a87
12116768380
13797b72c5
14486cb808
152c9746a0
hex1cf1d210

485610000 has 100 divisors (see below), whose sum is σ = 1567710672. Its totient is φ = 129488000.

The previous prime is 485609989. The next prime is 485610001. The reversal of 485610000 is 16584.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (485610001) 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 19 ways as a sum of consecutive naturals, for example, 21907 + ... + 38093.

Almost surely, 2485610000 is an apocalyptic number.

485610000 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 485610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783855336).

485610000 is an abundant number, since it is smaller than the sum of its proper divisors (1082100672).

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

485610000 is a wasteful number, since it uses less digits than its factorization.

485610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16218 (or 16197 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 485610000 is about 22036.5605301735. The cubic root of 485610000 is about 786.0120555746.

Adding to 485610000 its reverse (16584), we get a palindrome (485626584).

The spelling of 485610000 in words is "four hundred eighty-five million, six hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 16187 30000 32374 48561 64748 80935 97122 129496 161870 194244 242805 258992 323740 388488 404675 485610 647480 776976 809350 971220 1214025 1294960 1618700 1942440 2023375 2428050 3237400 3884880 4046750 4856100 6070125 6474800 8093500 9712200 10116875 12140250 16187000 19424400 20233750 24280500 30350625 32374000 40467500 48561000 60701250 80935000 97122000 121402500 161870000 242805000 485610000