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142826401 = 172192372
BaseRepresentation
bin10001000001101…
…01101110100001
3100221202022222201
420200311232201
5243030421101
622101133201
73353001334
oct1040655641
9327668881
10142826401
1173692653
123b9ba201
1323789983
1414d7c61b
15c813e01
hex8835ba1

142826401 has 27 divisors (see below), whose sum is σ = 164572569. Its totient is φ = 123907968.

The previous prime is 142826381. The next prime is 142826413. The reversal of 142826401 is 104628241.

The square root of 142826401 is 11951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 66438801 + 76387600 = 8151^2 + 8740^2 .

It is not a de Polignac number, because 142826401 - 27 = 142826273 is a prime.

It is a super-2 number, since 2×1428264012 = 40798761645225602, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 142826401.

It is not an unprimeable number, because it can be changed into a prime (142826501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3860155 + ... + 3860191.

Almost surely, 2142826401 is an apocalyptic number.

142826401 is the 11951-st square number.

142826401 is the 5976-th centered octagonal number.

It is an amenable number.

142826401 is a deficient number, since it is larger than the sum of its proper divisors (21746168).

142826401 is an equidigital number, since it uses as much as digits as its factorization.

142826401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The cubic root of 142826401 is about 522.7204579335.

The spelling of 142826401 in words is "one hundred forty-two million, eight hundred twenty-six thousand, four hundred one".

Divisors: 1 17 19 37 289 323 361 629 703 1369 5491 6137 10693 11951 13357 23273 26011 104329 203167 227069 395641 442187 494209 3860173 7517179 8401553 142826401