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5742864 = 2432192099
BaseRepresentation
bin10101111010000100010000
3101210202201200
4111322010100
52432232424
6323031200
766546021
oct25720420
911722650
105742864
113272776
121b0b500
131260c5a
14a96c48
157868c9
hex57a110

5742864 has 60 divisors (see below), whose sum is σ = 16926000. Its totient is φ = 1812672.

The previous prime is 5742859. The next prime is 5742871. The reversal of 5742864 is 4682475.

5742864 is a `hidden beast` number, since 574 + 2 + 86 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1687 + ... + 3785.

It is an arithmetic number, because the mean of its divisors is an integer number (282100).

Almost surely, 25742864 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 5742864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463000).

5742864 is an abundant number, since it is smaller than the sum of its proper divisors (11183136).

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

5742864 is a wasteful number, since it uses less digits than its factorization.

5742864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2123 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5742864 is about 2396.4273408555. The cubic root of 5742864 is about 179.0782509010.

The spelling of 5742864 in words is "five million, seven hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2099 2736 4198 6297 8396 12594 16792 18891 25188 33584 37782 39881 50376 75564 79762 100752 119643 151128 159524 239286 302256 319048 358929 478572 638096 717858 957144 1435716 1914288 2871432 5742864