Search a number
-
+
83438292 = 22378631151
BaseRepresentation
bin1001111100100…
…10101011010100
312211000002211010
410332102223110
5132330011132
612140212220
72032133220
oct476225324
9184002733
1083438292
114310a473
1223b3a070
1314395392
14b11d780
1574d26cc
hex4f92ad4

83438292 has 48 divisors (see below), whose sum is σ = 222953472. Its totient is φ = 23791200.

The previous prime is 83438269. The next prime is 83438359. The reversal of 83438292 is 29283438.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83438292.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71917 + ... + 73067.

It is an arithmetic number, because the mean of its divisors is an integer number (4644864).

Almost surely, 283438292 is an apocalyptic number.

It is an amenable number.

83438292 is an abundant number, since it is smaller than the sum of its proper divisors (139515180).

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

83438292 is a wasteful number, since it uses less digits than its factorization.

83438292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2026 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 83438292 is about 9134.4563056594. The cubic root of 83438292 is about 436.9735351144.

The spelling of 83438292 in words is "eighty-three million, four hundred thirty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 863 1151 1726 2302 2589 3452 3453 4604 5178 6041 6906 8057 10356 12082 13812 16114 18123 24164 24171 32228 36246 48342 72492 96684 993313 1986626 2979939 3973252 5959878 6953191 11919756 13906382 20859573 27812764 41719146 83438292