Search a number
-
+
42334096 = 2473189137
BaseRepresentation
bin1010000101111…
…1011110010000
32221122210110111
42201133132100
541314142341
64111211104
71022556010
oct241373620
987583414
1042334096
1121995262
1212216a94
138a0307c
14589dc40
153ab3681
hex285f790

42334096 has 80 divisors (see below), whose sum is σ = 98565120. Its totient is φ = 17233920.

The previous prime is 42334081. The next prime is 42334111. The reversal of 42334096 is 69043324.

42334096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42334081) and next prime (42334111).

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 308940 + ... + 309076.

It is an arithmetic number, because the mean of its divisors is an integer number (1232064).

Almost surely, 242334096 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 42334096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49282560).

42334096 is an abundant number, since it is smaller than the sum of its proper divisors (56231024).

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

42334096 is a wasteful number, since it uses less digits than its factorization.

42334096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 42334096 is about 6506.4657072792. The cubic root of 42334096 is about 348.5219191018.

The spelling of 42334096 in words is "forty-two million, three hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 89 112 124 137 178 217 248 274 356 434 496 548 623 712 868 959 1096 1246 1424 1736 1918 2192 2492 2759 3472 3836 4247 4984 5518 7672 8494 9968 11036 12193 15344 16988 19313 22072 24386 29729 33976 38626 44144 48772 59458 67952 77252 85351 97544 118916 154504 170702 195088 237832 309008 341404 377983 475664 682808 755966 1365616 1511932 2645881 3023864 5291762 6047728 10583524 21167048 42334096