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285354500 = 22531972897
BaseRepresentation
bin10001000000100…
…010101000000100
3201212221111210012
4101000202220010
51041022321000
644152045352
710033321214
oct2100425004
9655844705
10285354500
11137091072
127b693858
1347170922
1429c80244
151a0b9735
hex11022a04

285354500 has 48 divisors (see below), whose sum is σ = 626593968. Its totient is φ = 113523200.

The previous prime is 285354499. The next prime is 285354527. The reversal of 285354500 is 5453582.

It can be written as a sum of positive squares in 8 ways, for example, as 66846976 + 218507524 = 8176^2 + 14782^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97052 + ... + 99948.

It is an arithmetic number, because the mean of its divisors is an integer number (13054041).

Almost surely, 2285354500 is an apocalyptic number.

285354500 is a gapful number since it is divisible by the number (20) 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 285354500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313296984).

285354500 is an abundant number, since it is smaller than the sum of its proper divisors (341239468).

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

285354500 is a wasteful number, since it uses less digits than its factorization.

285354500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 285354500 is about 16892.4391370814. The cubic root of 285354500 is about 658.3571783633.

The spelling of 285354500 in words is "two hundred eighty-five million, three hundred fifty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 197 250 394 500 788 985 1970 2897 3940 4925 5794 9850 11588 14485 19700 24625 28970 49250 57940 72425 98500 144850 289700 362125 570709 724250 1141418 1448500 2282836 2853545 5707090 11414180 14267725 28535450 57070900 71338625 142677250 285354500