Search a number
-
+
42312492 = 223241109263
BaseRepresentation
bin1010000101101…
…0001100101100
32221121200211100
42201122030230
541312444432
64110523100
71022436015
oct241321454
987550740
1042312492
1121980002
1212206490
1389c62a1
14589600c
153aac07c
hex285a32c

42312492 has 72 divisors (see below), whose sum is σ = 110990880. Its totient is φ = 13582080.

The previous prime is 42312481. The next prime is 42312493. The reversal of 42312492 is 29421324.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42312493) 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 23 ways as a sum of consecutive naturals, for example, 160753 + ... + 161015.

It is an arithmetic number, because the mean of its divisors is an integer number (1541540).

Almost surely, 242312492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55495440).

42312492 is an abundant number, since it is smaller than the sum of its proper divisors (68678388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42312492 is a wasteful number, since it uses less digits than its factorization.

42312492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 418 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42312492 is about 6504.8053006989. The cubic root of 42312492 is about 348.4626229360.

The spelling of 42312492 in words is "forty-two million, three hundred twelve thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 109 123 164 218 246 263 327 369 436 492 526 654 738 789 981 1052 1308 1476 1578 1962 2367 3156 3924 4469 4734 8938 9468 10783 13407 17876 21566 26814 28667 32349 40221 43132 53628 57334 64698 80442 86001 97047 114668 129396 160884 172002 194094 258003 344004 388188 516006 1032012 1175347 2350694 3526041 4701388 7052082 10578123 14104164 21156246 42312492