Search a number
-
+
42043008 = 273715641
BaseRepresentation
bin1010000001100…
…0011010000000
32221010000011110
42200120122000
541230334013
64101043320
71020234240
oct240303200
987100143
1042043008
1121806597
12120b6540
138930727
145825b20
153a572c3
hex2818680

42043008 has 64 divisors (see below), whose sum is σ = 127638720. Its totient is φ = 12011520.

The previous prime is 42043003. The next prime is 42043019. The reversal of 42043008 is 80034024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×420430082 = 3535229043376128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42043003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5133 + ... + 10508.

It is an arithmetic number, because the mean of its divisors is an integer number (1994355).

Almost surely, 242043008 is an apocalyptic number.

42043008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42043008 is an abundant number, since it is smaller than the sum of its proper divisors (85595712).

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

42043008 is a wasteful number, since it uses less digits than its factorization.

42043008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15665 (or 15653 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42043008 is about 6484.0579886364. The cubic root of 42043008 is about 347.7212723892.

The spelling of 42043008 in words is "forty-two million, forty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 15641 31282 46923 62564 93846 109487 125128 187692 218974 250256 328461 375384 437948 500512 656922 750768 875896 1001024 1313844 1501536 1751792 2002048 2627688 3003072 3503584 5255376 6006144 7007168 10510752 14014336 21021504 42043008