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5842144 = 257112371
BaseRepresentation
bin10110010010010011100000
3101222210220201
4112102103200
52443422034
6325114544
7100441330
oct26222340
911883821
105842144
113330320
121b58a54
1312971b9
14ac10c0
157a6014
hex5924e0

5842144 has 48 divisors (see below), whose sum is σ = 14345856. Its totient is φ = 2275200.

The previous prime is 5842103. The next prime is 5842157. The reversal of 5842144 is 4412485.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1279 + ... + 3649.

It is an arithmetic number, because the mean of its divisors is an integer number (298872).

Almost surely, 25842144 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 5842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172928).

5842144 is an abundant number, since it is smaller than the sum of its proper divisors (8503712).

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

5842144 is a wasteful number, since it uses less digits than its factorization.

5842144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2391 counting only the distinct ones).

The product of its digits is 5120, while the sum is 28.

The square root of 5842144 is about 2417.0527507690. The cubic root of 5842144 is about 180.1043016902.

The spelling of 5842144 in words is "five million, eight hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2371 2464 4742 9484 16597 18968 26081 33194 37936 52162 66388 75872 104324 132776 182567 208648 265552 365134 417296 531104 730268 834592 1460536 2921072 5842144