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243085248 = 2632760289
BaseRepresentation
bin11100111110100…
…10111111000000
3121221102000021100
432133102333000
5444212211443
640042054400
76011122230
oct1637227700
9557360240
10243085248
111152405aa
12694aa400
133b491233
14243d9cc0
151651a3d3
hexe7d2fc0

243085248 has 84 divisors (see below), whose sum is σ = 796310320. Its totient is φ = 69451776.

The previous prime is 243085243. The next prime is 243085277. The reversal of 243085248 is 842580342.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243085243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26113 + ... + 34176.

Almost surely, 2243085248 is an apocalyptic number.

243085248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

243085248 is an abundant number, since it is smaller than the sum of its proper divisors (553225072).

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

243085248 is a wasteful number, since it uses less digits than its factorization.

243085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60314 (or 60301 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 243085248 is about 15591.1913592259. The cubic root of 243085248 is about 624.0981108061.

It can be divided in two parts, 2430 and 85248, that added together give a palindrome (87678).

The spelling of 243085248 in words is "two hundred forty-three million, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 60289 120578 180867 241156 361734 422023 482312 542601 723468 844046 964624 1085202 1266069 1446936 1688092 1929248 2170404 2532138 2893872 3376184 3798207 3858496 4340808 5064276 5787744 6752368 7596414 8681616 10128552 11575488 13504736 15192828 17363232 20257104 27009472 30385656 34726464 40514208 60771312 81028416 121542624 243085248