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42312336 = 24311127631
BaseRepresentation
bin1010000101101…
…0001010010000
32221121200121120
42201122022100
541312443321
64110522240
71022435403
oct241321220
987550546
1042312336
112197a980
1212206380
1389c61b1
145895d3a
153aabec6
hex285a290

42312336 has 80 divisors (see below), whose sum is σ = 120373248. Its totient is φ = 12700800.

The previous prime is 42312323. The next prime is 42312353. The reversal of 42312336 is 63321324.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66741 + ... + 67371.

Almost surely, 242312336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60186624).

42312336 is an abundant number, since it is smaller than the sum of its proper divisors (78060912).

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

42312336 is a wasteful number, since it uses less digits than its factorization.

42312336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 42312336 is about 6504.7933095526. The cubic root of 42312336 is about 348.4621946918.

The spelling of 42312336 in words is "forty-two million, three hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 254 264 381 508 528 631 762 1016 1262 1397 1524 1893 2032 2524 2794 3048 3786 4191 5048 5588 6096 6941 7572 8382 10096 11176 13882 15144 16764 20823 22352 27764 30288 33528 41646 55528 67056 80137 83292 111056 160274 166584 240411 320548 333168 480822 641096 881507 961644 1282192 1763014 1923288 2644521 3526028 3846576 5289042 7052056 10578084 14104112 21156168 42312336