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5733864 = 233297821
BaseRepresentation
bin10101110111110111101000
3101210022101100
4111313313220
52431440424
6322521400
766510543
oct25676750
911708340
105733864
113266a34
121b06260
131259b26
14a9385a
15783dc9
hex577de8

5733864 has 48 divisors (see below), whose sum is σ = 15708420. Its totient is φ = 1889280.

The previous prime is 5733857. The next prime is 5733881. The reversal of 5733864 is 4683375.

It is a happy number.

5733864 is a `hidden beast` number, since 573 + 3 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5616900 + 116964 = 2370^2 + 342^2 .

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, 6574 + ... + 7394.

Almost surely, 25733864 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 5733864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854210).

5733864 is an abundant number, since it is smaller than the sum of its proper divisors (9974556).

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

5733864 is a wasteful number, since it uses less digits than its factorization.

5733864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5733864 is about 2394.5488092749. The cubic root of 5733864 is about 178.9846537617.

The spelling of 5733864 in words is "five million, seven hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 821 873 1164 1642 1746 2328 2463 3284 3492 4926 6568 6984 7389 9852 14778 19704 29556 59112 79637 159274 238911 318548 477822 637096 716733 955644 1433466 1911288 2866932 5733864