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2428596 = 2233113199
BaseRepresentation
bin1001010000111010110100
311120101102000
421100322310
51110203341
6124015300
726433312
oct11207264
94511360
102428596
111409705
12991530
13670551
144730b2
1532e8b6
hex250eb4

2428596 has 48 divisors (see below), whose sum is σ = 6384000. Its totient is φ = 798336.

The previous prime is 2428577. The next prime is 2428627. The reversal of 2428596 is 6958242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 211 + 49 + 213 + 87 + 5 + 95 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 2428596.

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, 12105 + ... + 12303.

It is an arithmetic number, because the mean of its divisors is an integer number (133000).

22428596 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 2428596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192000).

2428596 is an abundant number, since it is smaller than the sum of its proper divisors (3955404).

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

2428596 is a wasteful number, since it uses less digits than its factorization.

2428596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2428596 is about 1558.3953285351. The cubic root of 2428596 is about 134.4162448476.

The spelling of 2428596 in words is "two million, four hundred twenty-eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 199 226 339 398 452 597 678 796 1017 1194 1356 1791 2034 2388 3051 3582 4068 5373 6102 7164 10746 12204 21492 22487 44974 67461 89948 134922 202383 269844 404766 607149 809532 1214298 2428596