Search a number
-
+
2288792 = 231131839
BaseRepresentation
bin1000101110110010011000
311022021122002
420232302120
51041220132
6121020132
725311602
oct10566230
94267562
102288792
111323670
12924648
13621a1c
14438172
15303262
hex22ec98

2288792 has 32 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 1005600.

The previous prime is 2288773. The next prime is 2288801. The reversal of 2288792 is 2978822.

It is a d-powerful number, because it can be written as 214 + 217 + 83 + 86 + 77 + 94 + 220 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2309 + ... + 3147.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

22288792 is an apocalyptic number.

2288792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

2288792 is an abundant number, since it is smaller than the sum of its proper divisors (2549608).

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

2288792 is a wasteful number, since it uses less digits than its factorization.

2288792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 883 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 2288792 is about 1512.8754079566. The cubic root of 2288792 is about 131.7858480418.

The spelling of 2288792 in words is "two million, two hundred eighty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 839 1364 1678 2728 3356 6712 9229 18458 26009 36916 52018 73832 104036 208072 286099 572198 1144396 2288792