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2428832 = 25721549
BaseRepresentation
bin1001010000111110100000
311120101201202
421100332200
51110210312
6124020332
726434100
oct11207640
94511652
102428832
1114098aa
129916a8
136706a3
14473200
1532e9c2
hex250fa0

2428832 has 36 divisors (see below), whose sum is σ = 5566050. Its totient is φ = 1040256.

The previous prime is 2428787. The next prime is 2428859. The reversal of 2428832 is 2388242.

It can be written as a sum of positive squares in only one way, i.e., 2202256 + 226576 = 1484^2 + 476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2428795 and 2428804.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 794 + ... + 2342.

22428832 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 2428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783025).

2428832 is an abundant number, since it is smaller than the sum of its proper divisors (3137218).

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

2428832 is a wasteful number, since it uses less digits than its factorization.

2428832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1558 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 2428832 is about 1558.4710456085. The cubic root of 2428832 is about 134.4205986947.

The spelling of 2428832 in words is "two million, four hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1549 1568 3098 6196 10843 12392 21686 24784 43372 49568 75901 86744 151802 173488 303604 346976 607208 1214416 2428832