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5438112 = 253371531
BaseRepresentation
bin10100101111101010100000
3101020021200120
4110233222200
52343004422
6312320240
764136361
oct24575240
911207616
105438112
113084809
1219a3080
131185324
14a17b68
1572645c
hex52faa0

5438112 has 48 divisors (see below), whose sum is σ = 14670432. Its totient is φ = 1762560.

The previous prime is 5438107. The next prime is 5438129. The reversal of 5438112 is 2118345.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2787 + ... + 4317.

It is an arithmetic number, because the mean of its divisors is an integer number (305634).

Almost surely, 25438112 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 5438112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335216).

5438112 is an abundant number, since it is smaller than the sum of its proper divisors (9232320).

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

5438112 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 5438112 = (1185324)13.

5438112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1573 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 5438112 is about 2331.9759861542. The cubic root of 5438112 is about 175.8528384183.

The spelling of 5438112 in words is "five million, four hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1531 1776 3062 3552 4593 6124 9186 12248 18372 24496 36744 48992 56647 73488 113294 146976 169941 226588 339882 453176 679764 906352 1359528 1812704 2719056 5438112