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42441216 = 29327631
BaseRepresentation
bin1010000111100…
…1101000000000
32221212020101220
42201321220000
541331104331
64113355040
71023513216
oct241715000
987766356
1042441216
1121a58794
1212268a80
138a3ca5c
1458cacb6
153ad5296
hex2879a00

42441216 has 40 divisors (see below), whose sum is σ = 113070144. Its totient is φ = 14146560.

The previous prime is 42441209. The next prime is 42441247. The reversal of 42441216 is 61214424.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12280 + ... + 15351.

Almost surely, 242441216 is an apocalyptic number.

It is an amenable number.

42441216 is an abundant number, since it is smaller than the sum of its proper divisors (70628928).

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

42441216 is an equidigital number, since it uses as much as digits as its factorization.

42441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27652 (or 27636 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 42441216 is about 6514.6923181375. The cubic root of 42441216 is about 348.8156321025.

It can be divided in two parts, 4244 and 1216, that added together give a triangular number (5460 = T104).

The spelling of 42441216 in words is "forty-two million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 27631 55262 82893 110524 165786 221048 331572 442096 663144 884192 1326288 1768384 2652576 3536768 5305152 7073536 10610304 14147072 21220608 42441216