Search a number
-
+
42826545 = 3257313037
BaseRepresentation
bin1010001101011…
…1101100110001
32222120210222100
42203113230301
541430422140
64125531013
71030006506
oct243275461
988523870
1042826545
11221a1243
1212413a69
138b46268
14598b4ad
153b5e530
hex28d7b31

42826545 has 24 divisors (see below), whose sum is σ = 75255336. Its totient is φ = 22526208.

The previous prime is 42826543. The next prime is 42826547. The reversal of 42826545 is 54562824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42826543) and next prime (42826547).

It can be written as a sum of positive squares in 4 ways, for example, as 7969329 + 34857216 = 2823^2 + 5904^2 .

It is not a de Polignac number, because 42826545 - 21 = 42826543 is a prime.

It is a super-2 number, since 2×428265452 = 3668225913274050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42826543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234 + ... + 9803.

It is an arithmetic number, because the mean of its divisors is an integer number (3135639).

Almost surely, 242826545 is an apocalyptic number.

42826545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42826545 is a deficient number, since it is larger than the sum of its proper divisors (32428791).

42826545 is a wasteful number, since it uses less digits than its factorization.

42826545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13121 (or 13118 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 42826545 is about 6544.1993398734. The cubic root of 42826545 is about 349.8680999586.

The spelling of 42826545 in words is "forty-two million, eight hundred twenty-six thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3285 13037 39111 65185 117333 195555 586665 951701 2855103 4758505 8565309 14275515 42826545