Search a number
-
+
285239232 = 263518341
BaseRepresentation
bin10001000000000…
…110011111000000
3201212201122200000
4101000012133000
51041010123412
644145400000
710032331155
oct2100063700
9655648600
10285239232
11137012503
127b639000
1347130315
1429c5022c
151a0954dc
hex110067c0

285239232 has 84 divisors (see below), whose sum is σ = 847913976. Its totient is φ = 95074560.

The previous prime is 285239221. The next prime is 285239257. The reversal of 285239232 is 232932582.

It is a super-2 number, since 2×2852392322 = 162722838943899648, which contains 22 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6382 + ... + 24722.

It is an arithmetic number, because the mean of its divisors is an integer number (10094214).

Almost surely, 2285239232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285239232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423956988).

285239232 is an abundant number, since it is smaller than the sum of its proper divisors (562674744).

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

285239232 is an equidigital number, since it uses as much as digits as its factorization.

285239232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18368 (or 18346 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 285239232 is about 16889.0269701958. The cubic root of 285239232 is about 658.2685193611.

The spelling of 285239232 in words is "two hundred eighty-five million, two hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 18341 36682 55023 73364 110046 146728 165069 220092 293456 330138 440184 495207 586912 660276 880368 990414 1173824 1320552 1485621 1760736 1980828 2641104 2971242 3521472 3961656 4456863 5282208 5942484 7923312 8913726 10564416 11884968 15846624 17827452 23769936 31693248 35654904 47539872 71309808 95079744 142619616 285239232