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5438144 = 26312741
BaseRepresentation
bin10100101111101011000000
3101020021201202
4110233223000
52343010034
6312320332
764136435
oct24575300
911207652
105438144
113084838
1219a30a8
13118534a
14a17b8c
1572647e
hex52fac0

5438144 has 28 divisors (see below), whose sum is σ = 11143488. Its totient is φ = 2630400.

The previous prime is 5438141. The next prime is 5438159. The reversal of 5438144 is 4418345.

It is not an unprimeable number, because it can be changed into a prime (5438141) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 614 + ... + 3354.

Almost surely, 25438144 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 5438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571744).

5438144 is an abundant number, since it is smaller than the sum of its proper divisors (5705344).

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

5438144 is a wasteful number, since it uses less digits than its factorization.

5438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2774 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 5438144 is about 2331.9828472783. The cubic root of 5438144 is about 175.8531833469.

The spelling of 5438144 in words is "five million, four hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 2741 5482 10964 21928 43856 84971 87712 169942 175424 339884 679768 1359536 2719072 5438144