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42396336 = 24322271297
BaseRepresentation
bin1010000110111…
…0101010110000
32221202221211200
42201232222300
541323140321
64112411200
71023235323
oct241565260
987687750
1042396336
1121a27aa4
1212246b00
138a254b8
1458b87ba
153ac6d26
hex286eab0

42396336 has 60 divisors (see below), whose sum is σ = 119265432. Its totient is φ = 14059008.

The previous prime is 42396293. The next prime is 42396371. The reversal of 42396336 is 63369324.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42396336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32040 + ... + 33336.

Almost surely, 242396336 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 42396336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59632716).

42396336 is an abundant number, since it is smaller than the sum of its proper divisors (76869096).

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

42396336 is a wasteful number, since it uses less digits than its factorization.

42396336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1529 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 42396336 is about 6511.2468851979. The cubic root of 42396336 is about 348.6926355720.

The spelling of 42396336 in words is "forty-two million, three hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 454 681 908 1297 1362 1816 2043 2594 2724 3632 3891 4086 5188 5448 7782 8172 10376 10896 11673 15564 16344 20752 23346 31128 32688 46692 62256 93384 186768 294419 588838 883257 1177676 1766514 2355352 2649771 3533028 4710704 5299542 7066056 10599084 14132112 21198168 42396336