Search a number
-
+
42379281 = 347411823
BaseRepresentation
bin1010000110101…
…0100000010001
32221202002110000
42201222200101
541322114111
64112200213
71023134520
oct241524021
987662400
1042379281
1121a161aa
1212239069
138a1a7c9
1458b24b7
153ac1c56
hex286a811

42379281 has 40 divisors (see below), whose sum is σ = 74156544. Its totient is φ = 23613120.

The previous prime is 42379223. The next prime is 42379301. The reversal of 42379281 is 18297324.

42379281 is a `hidden beast` number, since 4 + 2 + 379 + 281 = 666.

It is not a de Polignac number, because 42379281 - 26 = 42379217 is a prime.

It is a super-2 number, since 2×423792812 = 3592006916153922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42379081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22336 + ... + 24158.

Almost surely, 242379281 is an apocalyptic number.

42379281 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42379281 is a deficient number, since it is larger than the sum of its proper divisors (31777263).

42379281 is a wasteful number, since it uses less digits than its factorization.

42379281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1874 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42379281 is about 6509.9370964703. The cubic root of 42379281 is about 348.6458724860.

The spelling of 42379281 in words is "forty-two million, three hundred seventy-nine thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 27 41 63 81 123 189 287 369 567 861 1107 1823 2583 3321 5469 7749 12761 16407 23247 38283 49221 74743 114849 147663 224229 344547 523201 672687 1033641 1569603 2018061 4708809 6054183 14126427 42379281