Search a number
-
+
42394608 = 2432319497
BaseRepresentation
bin1010000110111…
…0001111110000
32221202212110200
42201232033300
541323111413
64112355200
71023230304
oct241561760
987685420
1042394608
1121a26773
1212245b00
138a24789
1458b7d04
153ac6573
hex286e3f0

42394608 has 60 divisors (see below), whose sum is σ = 122486208. Its totient is φ = 13674240.

The previous prime is 42394591. The next prime is 42394619. The reversal of 42394608 is 80649324.

It is a happy number.

42394608 is a `hidden beast` number, since 42 + 3 + 9 + 4 + 608 = 666.

42394608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285 + ... + 9212.

Almost surely, 242394608 is an apocalyptic number.

42394608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42394608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61243104).

42394608 is an abundant number, since it is smaller than the sum of its proper divisors (80091600).

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

42394608 is a wasteful number, since it uses less digits than its factorization.

42394608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9542 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42394608 is about 6511.1141903671. The cubic root of 42394608 is about 348.6878981417.

The spelling of 42394608 in words is "forty-two million, three hundred ninety-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 9497 18994 28491 37988 56982 75976 85473 113964 151952 170946 227928 294407 341892 455856 588814 683784 883221 1177628 1367568 1766442 2355256 2649663 3532884 4710512 5299326 7065768 10598652 14131536 21197304 42394608