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42382312 = 2371961653
BaseRepresentation
bin1010000110101…
…1001111101000
32221202020121021
42201223033220
541322213222
64112222224
71023146410
oct241531750
987666537
1042382312
1121a18505
121223a974
138a1bcbb
1458b3640
153ac2ac7
hex286b3e8

42382312 has 64 divisors (see below), whose sum is σ = 97315200. Its totient is φ = 16899840.

The previous prime is 42382289. The next prime is 42382321. The reversal of 42382312 is 21328324.

42382312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64578 + ... + 65230.

It is an arithmetic number, because the mean of its divisors is an integer number (1520550).

Almost surely, 242382312 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 42382312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48657600).

42382312 is an abundant number, since it is smaller than the sum of its proper divisors (54932888).

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

42382312 is a wasteful number, since it uses less digits than its factorization.

42382312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 742 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 42382312 is about 6510.1698902563. The cubic root of 42382312 is about 348.6541840982.

The spelling of 42382312 in words is "forty-two million, three hundred eighty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 61 76 122 133 152 244 266 427 488 532 653 854 1064 1159 1306 1708 2318 2612 3416 4571 4636 5224 8113 9142 9272 12407 16226 18284 24814 32452 36568 39833 49628 64904 79666 86849 99256 159332 173698 278831 318664 347396 557662 694792 756827 1115324 1513654 2230648 3027308 5297789 6054616 10595578 21191156 42382312