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5034600 = 2332522797
BaseRepresentation
bin10011001101001001101000
3100110210011200
4103031021220
52242101400
6255524200
760536064
oct23151150
910423150
105034600
11292962a
121829660
13107376c
14950aa4
15696b00
hex4cd268

5034600 has 72 divisors (see below), whose sum is σ = 16913910. Its totient is φ = 1342080.

The previous prime is 5034587. The next prime is 5034607. The reversal of 5034600 is 64305.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4235364 + 799236 = 2058^2 + 894^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (5034607) 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, 402 + ... + 3198.

Almost surely, 25034600 is an apocalyptic number.

5034600 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 5034600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456955).

5034600 is an abundant number, since it is smaller than the sum of its proper divisors (11879310).

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

5034600 is a wasteful number, since it uses less digits than its factorization.

5034600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5034600 is about 2243.7914341578. The cubic root of 5034600 is about 171.3911227723.

Adding to 5034600 its reverse (64305), we get a palindrome (5098905).

The spelling of 5034600 in words is "five million, thirty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2797 5594 8391 11188 13985 16782 22376 25173 27970 33564 41955 50346 55940 67128 69925 83910 100692 111880 125865 139850 167820 201384 209775 251730 279700 335640 419550 503460 559400 629325 839100 1006920 1258650 1678200 2517300 5034600