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5438600 = 235271383
BaseRepresentation
bin10100101111110010001000
3101020022100122
4110233302020
52343013400
6312322412
764140656
oct24576210
911208318
105438600
113085112
1219a3408
13118560b
14a17dd6
15726685
hex52fc88

5438600 has 48 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 2139200.

The previous prime is 5438599. The next prime is 5438611. The reversal of 5438600 is 68345.

It is a self number, because there is not a number n which added to its sum of digits gives 5438600.

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 11 ways as a sum of consecutive naturals, for example, 14009 + ... + 14391.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 25438600 is an apocalyptic number.

5438600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

5438600 is an abundant number, since it is smaller than the sum of its proper divisors (7417720).

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

5438600 is a wasteful number, since it uses less digits than its factorization.

5438600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

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

The square root of 5438600 is about 2332.0806161023. The cubic root of 5438600 is about 175.8580984313.

The spelling of 5438600 in words is "five million, four hundred thirty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 383 568 710 766 1420 1532 1775 1915 2840 3064 3550 3830 7100 7660 9575 14200 15320 19150 27193 38300 54386 76600 108772 135965 217544 271930 543860 679825 1087720 1359650 2719300 5438600