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42826131 = 3337163263
BaseRepresentation
bin1010001101011…
…1100110010011
32222120210102000
42203113212103
541430414011
64125525043
71030005345
oct243274623
988523360
1042826131
11221a09a7
1212413783
138b4600a
14598b295
153b5e356
hex28d7993

42826131 has 32 divisors (see below), whose sum is σ = 65809920. Its totient is φ = 27503712.

The previous prime is 42826123. The next prime is 42826141. The reversal of 42826131 is 13162824.

42826131 is a `hidden beast` number, since 42 + 8 + 2 + 613 + 1 = 666.

It is not a de Polignac number, because 42826131 - 23 = 42826123 is a prime.

It is a super-2 number, since 2×428261312 = 3668154992858322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42826095 and 42826104.

It is not an unprimeable number, because it can be changed into a prime (42826141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162706 + ... + 162968.

It is an arithmetic number, because the mean of its divisors is an integer number (2056560).

Almost surely, 242826131 is an apocalyptic number.

42826131 is a deficient number, since it is larger than the sum of its proper divisors (22983789).

42826131 is a wasteful number, since it uses less digits than its factorization.

42826131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42826131 is about 6544.1677087312. The cubic root of 42826131 is about 349.8669725748.

Adding to 42826131 its reverse (13162824), we get a palindrome (55988955).

The spelling of 42826131 in words is "forty-two million, eight hundred twenty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 27 37 111 163 263 333 489 789 999 1467 2367 4401 6031 7101 9731 18093 29193 42869 54279 87579 128607 162837 262737 385821 1157463 1586153 4758459 14275377 42826131