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242318592 = 2832105173
BaseRepresentation
bin11100111000101…
…11110100000000
3121212222001121200
432130113310000
5444013143332
640013421200
76001450125
oct1634276400
9555861550
10242318592
111148675aa
126919a800
133b2832a9
142427a74c
151641817c
hexe717d00

242318592 has 54 divisors (see below), whose sum is σ = 698670882. Its totient is φ = 80772096.

The previous prime is 242318591. The next prime is 242318617. The reversal of 242318592 is 295813242.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 178062336 + 64256256 = 13344^2 + 8016^2 .

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 (242318591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50283 + ... + 54890.

Almost surely, 2242318592 is an apocalyptic number.

It is an amenable number.

242318592 is an abundant number, since it is smaller than the sum of its proper divisors (456352290).

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

242318592 is a wasteful number, since it uses less digits than its factorization.

242318592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105195 (or 105178 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 242318592 is about 15566.5857528233. The cubic root of 242318592 is about 623.4413145375.

It can be divided in two parts, 24231 and 8592, that added together give a palindrome (32823).

The spelling of 242318592 in words is "two hundred forty-two million, three hundred eighteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 105173 210346 315519 420692 631038 841384 946557 1262076 1682768 1893114 2524152 3365536 3786228 5048304 6731072 7572456 10096608 13462144 15144912 20193216 26924288 30289824 40386432 60579648 80772864 121159296 242318592