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4685000 = 2354937
BaseRepresentation
bin10001110111110011001000
322211000121112
4101313303020
52144410000
6244225452
754551615
oct21676310
98730545
104685000
11270aa01
12169b288
13c805b8
1489d50c
15628235
hex477cc8

4685000 has 40 divisors (see below), whose sum is σ = 10988670. Its totient is φ = 1872000.

The previous prime is 4684993. The next prime is 4685033. The reversal of 4685000 is 5864.

It can be written as a sum of positive squares in 5 ways, for example, as 131044 + 4553956 = 362^2 + 2134^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4532 + ... + 5468.

Almost surely, 24685000 is an apocalyptic number.

4685000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4685000 is the 1250-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4685000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494335).

4685000 is an abundant number, since it is smaller than the sum of its proper divisors (6303670).

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

4685000 is an equidigital number, since it uses as much as digits as its factorization.

4685000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4685000 is about 2164.4860821913. The cubic root of 4685000 is about 167.3284796541.

The spelling of 4685000 in words is "four million, six hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 937 1000 1250 1874 2500 3748 4685 5000 7496 9370 18740 23425 37480 46850 93700 117125 187400 234250 468500 585625 937000 1171250 2342500 4685000