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42118144 = 21041131
BaseRepresentation
bin1010000010101…
…0110000000000
32221020211020021
42200222300000
541240240034
64102423224
71020666265
oct240526000
987224207
1042118144
1121857a92
1212131b14
1389589a3
14584526c
153a6e6b4
hex282ac00

42118144 has 22 divisors (see below), whose sum is σ = 84197204. Its totient is φ = 21058560.

The previous prime is 42118067. The next prime is 42118189. The reversal of 42118144 is 44181124.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 19542 + ... + 21589.

Almost surely, 242118144 is an apocalyptic number.

It is an amenable number.

42118144 is a deficient number, since it is larger than the sum of its proper divisors (42079060).

42118144 is an equidigital number, since it uses as much as digits as its factorization.

42118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41151 (or 41133 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 42118144 is about 6489.8493048760. The cubic root of 42118144 is about 347.9282892711.

Adding to 42118144 its reverse (44181124), we get a palindrome (86299268).

The spelling of 42118144 in words is "forty-two million, one hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 41131 82262 164524 329048 658096 1316192 2632384 5264768 10529536 21059072 42118144