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5378112 = 26329337
BaseRepresentation
bin10100100001000001000000
3101010020101100
4110201001000
52334044422
6311134400
763466425
oct24410100
911106340
105378112
113043723
121974400
131163c1c
149ddd4c
157137ac
hex521040

5378112 has 42 divisors (see below), whose sum is σ = 15417038. Its totient is φ = 1792512.

The previous prime is 5378111. The next prime is 5378119. The reversal of 5378112 is 2118735.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 69696 = 2304^2 + 264^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5378111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4093 + ... + 5244.

Almost surely, 25378112 is an apocalyptic number.

It is an amenable number.

5378112 is an abundant number, since it is smaller than the sum of its proper divisors (10038926).

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

5378112 is a wasteful number, since it uses less digits than its factorization.

5378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9355 (or 9342 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 5378112 is about 2319.0756779372. The cubic root of 5378112 is about 175.2037029304.

It can be divided in two parts, 537 and 8112, that added together give a square (8649 = 932).

The spelling of 5378112 in words is "five million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9337 18674 28011 37348 56022 74696 84033 112044 149392 168066 224088 298784 336132 448176 597568 672264 896352 1344528 1792704 2689056 5378112