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142584257 = 5373137269
BaseRepresentation
bin10000111111110…
…10100111000001
3100221022000211102
420133322213001
5243000144012
622052024145
73350642354
oct1037724701
9327260742
10142584257
1173537732
123b902055
13237036aa
1414d1829b
15c7b72c2
hex87fa9c1

142584257 has 16 divisors (see below), whose sum is σ = 148890960. Its totient is φ = 136461312.

The previous prime is 142584223. The next prime is 142584263. The reversal of 142584257 is 752485241.

It can be written as a sum of positive squares in 8 ways, for example, as 712336 + 141871921 = 844^2 + 11911^2 .

It is a cyclic number.

It is not a de Polignac number, because 142584257 - 216 = 142518721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 142584257.

It is not an unprimeable number, because it can be changed into a prime (142584557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529919 + ... + 530187.

It is an arithmetic number, because the mean of its divisors is an integer number (9305685).

Almost surely, 2142584257 is an apocalyptic number.

It is an amenable number.

142584257 is a deficient number, since it is larger than the sum of its proper divisors (6306703).

142584257 is a wasteful number, since it uses less digits than its factorization.

142584257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532.

The product of its digits is 89600, while the sum is 38.

The square root of 142584257 is about 11940.8650021680. The cubic root of 142584257 is about 522.4248888161.

The spelling of 142584257 in words is "one hundred forty-two million, five hundred eighty-four thousand, two hundred fifty-seven".

Divisors: 1 53 73 137 269 3869 7261 10001 14257 19637 36853 530053 1040761 1953209 2690269 142584257