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242510544 = 2433561367
BaseRepresentation
bin11100111010001…
…10101011010000
3121220022210221000
432131012223100
5444040314134
640021502000
76003206553
oct1635065320
9556283830
10242510544
11114988841
1269271900
133b31c783
14242ca69a
1516454e99
hexe746ad0

242510544 has 40 divisors (see below), whose sum is σ = 696096320. Its totient is φ = 80836704.

The previous prime is 242510537. The next prime is 242510549. The reversal of 242510544 is 445015242.

242510544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2425105442 = 117622727902351872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242510549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280252 + ... + 281115.

It is an arithmetic number, because the mean of its divisors is an integer number (17402408).

Almost surely, 2242510544 is an apocalyptic number.

242510544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242510544 is an abundant number, since it is smaller than the sum of its proper divisors (453585776).

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

242510544 is a wasteful number, since it uses less digits than its factorization.

242510544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561384 (or 561372 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 242510544 is about 15572.7500461543. The cubic root of 242510544 is about 623.6058901913.

Adding to 242510544 its reverse (445015242), we get a palindrome (687525786).

The spelling of 242510544 in words is "two hundred forty-two million, five hundred ten thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 561367 1122734 1684101 2245468 3368202 4490936 5052303 6736404 8981872 10104606 13472808 15156909 20209212 26945616 30313818 40418424 60627636 80836848 121255272 242510544