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5700384 = 253219793
BaseRepresentation
bin10101101111101100100000
3101201121110100
4111233230200
52424403014
6322102400
766311124
oct25575440
911647410
105700384
113243868
121aaaa00
131247811
14a85584
15779009
hex56fb20

5700384 has 36 divisors (see below), whose sum is σ = 16211286. Its totient is φ = 1900032.

The previous prime is 5700367. The next prime is 5700391. The reversal of 5700384 is 4830075.

5700384 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4112784 + 1587600 = 2028^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 9609 + ... + 10184.

Almost surely, 25700384 is an apocalyptic number.

It is an amenable number.

5700384 is an abundant number, since it is smaller than the sum of its proper divisors (10510902).

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

5700384 is a wasteful number, since it uses less digits than its factorization.

5700384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19809 (or 19798 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5700384 is about 2387.5476958587. The cubic root of 5700384 is about 178.6356100570.

It can be divided in two parts, 5700 and 384, that added together give a square (6084 = 782).

The spelling of 5700384 in words is "five million, seven hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 19793 39586 59379 79172 118758 158344 178137 237516 316688 356274 475032 633376 712548 950064 1425096 1900128 2850192 5700384