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42315462 = 23271672011
BaseRepresentation
bin1010000101101…
…0111011000110
32221121211220100
42201122323012
541313043322
64110544530
71022450460
oct241327306
987554810
1042315462
1121982262
1212208146
1389c7747
145897130
153aacdac
hex285aec6

42315462 has 48 divisors (see below), whose sum is σ = 105460992. Its totient is φ = 12011760.

The previous prime is 42315433. The next prime is 42315487. The reversal of 42315462 is 26451324.

42315462 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 20037 + ... + 22047.

It is an arithmetic number, because the mean of its divisors is an integer number (2197104).

Almost surely, 242315462 is an apocalyptic number.

42315462 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42315462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52730496).

42315462 is an abundant number, since it is smaller than the sum of its proper divisors (63145530).

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

42315462 is a wasteful number, since it uses less digits than its factorization.

42315462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2190 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42315462 is about 6505.0335894598. The cubic root of 42315462 is about 348.4707758457.

Adding to 42315462 its reverse (26451324), we get a palindrome (68766786).

The spelling of 42315462 in words is "forty-two million, three hundred fifteen thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 334 501 1002 1169 1503 2011 2338 3006 3507 4022 6033 7014 10521 12066 14077 18099 21042 28154 36198 42231 84462 126693 253386 335837 671674 1007511 2015022 2350859 3022533 4701718 6045066 7052577 14105154 21157731 42315462