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2428974 = 233311451
BaseRepresentation
bin1001010001000000101110
311120101221000
421101000232
51110211344
6124021130
726434362
oct11210056
94511830
102428974
111409a19
129917a6
13670782
144732a2
1532ea69
hex25102e

2428974 has 32 divisors (see below), whose sum is σ = 5575680. Its totient is φ = 783000.

The previous prime is 2428931. The next prime is 2428991. The reversal of 2428974 is 4798242.

It is a d-powerful number, because it can be written as 25 + 4 + 213 + 87 + 95 + 74 + 49 .

It is a Curzon number.

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, 949 + ... + 2399.

It is an arithmetic number, because the mean of its divisors is an integer number (174240).

22428974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787840).

2428974 is an abundant number, since it is smaller than the sum of its proper divisors (3146706).

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

2428974 is a wasteful number, since it uses less digits than its factorization.

2428974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2428974 is about 1558.5166024140. The cubic root of 2428974 is about 134.4232182464.

It can be divided in two parts, 242 and 8974, that added together give a square (9216 = 962).

The spelling of 2428974 in words is "two million, four hundred twenty-eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1451 1674 2902 4353 8706 13059 26118 39177 44981 78354 89962 134943 269886 404829 809658 1214487 2428974