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42286101 = 31113241409
BaseRepresentation
bin1010000101001…
…1110000010101
32221120100121220
42201103300111
541311123401
64110200553
71022266044
oct241236025
987510556
1042286101
11219621a0
12121b3159
1389b7280
14588a55b
153aa4336
hex2853c15

42286101 has 32 divisors (see below), whose sum is σ = 66675840. Its totient is φ = 23500800.

The previous prime is 42286099. The next prime is 42286117. The reversal of 42286101 is 10168224.

It is not a de Polignac number, because 42286101 - 21 = 42286099 is a prime.

It is a super-2 number, since 2×422861012 = 3576228675564402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42286141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103185 + ... + 103593.

It is an arithmetic number, because the mean of its divisors is an integer number (2083620).

Almost surely, 242286101 is an apocalyptic number.

It is an amenable number.

42286101 is a deficient number, since it is larger than the sum of its proper divisors (24389739).

42286101 is a wasteful number, since it uses less digits than its factorization.

42286101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 42286101 is about 6502.7764070434. The cubic root of 42286101 is about 348.3901605711.

The spelling of 42286101 in words is "forty-two million, two hundred eighty-six thousand, one hundred one".

Divisors: 1 3 11 13 33 39 143 241 409 429 723 1227 2651 3133 4499 5317 7953 9399 13497 15951 34463 58487 98569 103389 175461 295707 1084259 1281397 3252777 3844191 14095367 42286101