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42677334 = 233721272
BaseRepresentation
bin1010001011001…
…1010001010110
32222022020022000
42202303101112
541411133314
64122420130
71025515500
oct242632126
988266260
1042677334
11220aa127
1212361646
138ac337b
14594cd70
153b30209
hex28b3456

42677334 has 72 divisors (see below), whose sum is σ = 111197880. Its totient is φ = 12097512.

The previous prime is 42677321. The next prime is 42677339. The reversal of 42677334 is 43377624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42677339) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335979 + ... + 336105.

It is an arithmetic number, because the mean of its divisors is an integer number (1544415).

Almost surely, 242677334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42677334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598940).

42677334 is an abundant number, since it is smaller than the sum of its proper divisors (68520546).

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

42677334 is a wasteful number, since it uses less digits than its factorization.

42677334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 139 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 42677334 is about 6532.7891440027. The cubic root of 42677334 is about 349.4613046367.

The spelling of 42677334 in words is "forty-two million, six hundred seventy-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 127 147 189 254 294 378 381 441 762 882 889 1143 1323 1778 2286 2646 2667 3429 5334 6223 6858 8001 12446 16002 16129 18669 24003 32258 37338 48006 48387 56007 96774 112014 112903 145161 168021 225806 290322 336042 338709 435483 677418 790321 870966 1016127 1580642 2032254 2370963 3048381 4741926 6096762 7112889 14225778 21338667 42677334