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5312384 = 2773112
BaseRepresentation
bin10100010000111110000000
3100222220012222
4110100332000
52324444014
6305510212
763104000
oct24207600
910886188
105312384
112aa9300
121942368
13114002c
149c4000
156ee08e
hex510f80

5312384 has 96 divisors (see below), whose sum is σ = 13566000. Its totient is φ = 2069760.

The previous prime is 5312371. The next prime is 5312387. The reversal of 5312384 is 4832135.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (2880) is a multiple of the sum of its prime divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482939 + ... + 482949.

Almost surely, 25312384 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 5312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783000).

5312384 is an abundant number, since it is smaller than the sum of its proper divisors (8253616).

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

5312384 is an equidigital number, since it uses as much as digits as its factorization.

5312384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 20 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 5312384 is about 2304.8609502527. The cubic root of 5312384 is about 174.4870311624.

Subtracting from 5312384 its reverse (4832135), we obtain a square (480249 = 6932).

The spelling of 5312384 in words is "five million, three hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 242 308 343 352 392 448 484 539 616 686 704 784 847 896 968 1078 1232 1372 1408 1568 1694 1936 2156 2464 2744 3136 3388 3773 3872 4312 4928 5488 5929 6272 6776 7546 7744 8624 9856 10976 11858 13552 15092 15488 17248 21952 23716 27104 30184 34496 41503 43904 47432 54208 60368 68992 83006 94864 108416 120736 166012 189728 241472 332024 379456 482944 664048 758912 1328096 2656192 5312384