Search a number
-
+
67928382 = 2341929761
BaseRepresentation
bin1000000110010…
…00000100111110
311201211010020000
410003020010332
5114342202012
610423535130
71453244634
oct403100476
9151733200
1067928382
1135386665
121a8ba4a6
13110c4912
149043354
155e6bddc
hex40c813e

67928382 has 80 divisors (see below), whose sum is σ = 165963600. Its totient is φ = 20684160.

The previous prime is 67928359. The next prime is 67928389. The reversal of 67928382 is 28382976.

It is a super-2 number, since 2×679283822 = 9228530162275848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67928389) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88882 + ... + 89642.

It is an arithmetic number, because the mean of its divisors is an integer number (2074545).

Almost surely, 267928382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67928382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82981800).

67928382 is an abundant number, since it is smaller than the sum of its proper divisors (98035218).

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

67928382 is a wasteful number, since it uses less digits than its factorization.

67928382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 814 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 67928382 is about 8241.8676281532. The cubic root of 67928382 is about 408.0221657508.

The spelling of 67928382 in words is "sixty-seven million, nine hundred twenty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 81 87 114 162 171 174 261 342 513 522 551 761 783 1026 1102 1522 1539 1566 1653 2283 2349 3078 3306 4566 4698 4959 6849 9918 13698 14459 14877 20547 22069 28918 29754 41094 43377 44138 44631 61641 66207 86754 89262 123282 130131 132414 198621 260262 390393 397242 419311 595863 780786 838622 1171179 1191726 1257933 1787589 2342358 2515866 3575178 3773799 7547598 11321397 22642794 33964191 67928382