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5234400 = 253252727
BaseRepresentation
bin10011111101111011100000
3100211221020200
4103331323200
52320000100
6304105200
762330433
oct23757340
910757220
105234400
112a55756
121905200
1311136a2
149a381a
156d5e00
hex4fdee0

5234400 has 108 divisors (see below), whose sum is σ = 18483192. Its totient is φ = 1393920.

The previous prime is 5234399. The next prime is 5234401. The reversal of 5234400 is 44325.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5234399) and next prime (5234401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5234401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6837 + ... + 7563.

Almost surely, 25234400 is an apocalyptic number.

5234400 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 5234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241596).

5234400 is an abundant number, since it is smaller than the sum of its proper divisors (13248792).

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

5234400 is a wasteful number, since it uses less digits than its factorization.

5234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5234400 is about 2287.8811157925. The cubic root of 5234400 is about 173.6290153742.

Adding to 5234400 its reverse (44325), we get a palindrome (5278725).

The spelling of 5234400 in words is "five million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 727 800 900 1200 1440 1454 1800 2181 2400 2908 3600 3635 4362 5816 6543 7200 7270 8724 10905 11632 13086 14540 17448 18175 21810 23264 26172 29080 32715 34896 36350 43620 52344 54525 58160 65430 69792 72700 87240 104688 109050 116320 130860 145400 163575 174480 209376 218100 261720 290800 327150 348960 436200 523440 581600 654300 872400 1046880 1308600 1744800 2617200 5234400