Search a number
-
+
83904 = 2631923
BaseRepresentation
bin10100011111000000
311021002120
4110133000
510141104
61444240
7466422
oct243700
9137076
1083904
1158047
1240680
132c262
1422812
1519cd9
hex147c0

83904 has 56 divisors (see below), whose sum is σ = 243840. Its totient is φ = 25344.

The previous prime is 83903. The next prime is 83911. The reversal of 83904 is 40938.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3637 + ... + 3659.

283904 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 83904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920).

83904 is an abundant number, since it is smaller than the sum of its proper divisors (159936).

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

83904 is a wasteful number, since it uses less digits than its factorization.

83904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 83904 is about 289.6618718437. The cubic root of 83904 is about 43.7785011566.

The spelling of 83904 in words is "eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 138 152 184 192 228 276 304 368 437 456 552 608 736 874 912 1104 1216 1311 1472 1748 1824 2208 2622 3496 3648 4416 5244 6992 10488 13984 20976 27968 41952 83904