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5042304 = 27331459
BaseRepresentation
bin10011001111000010000000
3100111011202000
4103033002000
52242323204
6300024000
760600411
oct23170200
910434660
105042304
1129343a3
121832000
131077117
14953808
15699039
hex4cf080

5042304 has 64 divisors (see below), whose sum is σ = 14892000. Its totient is φ = 1679616.

The previous prime is 5042299. The next prime is 5042311. The reversal of 5042304 is 4032405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2727 + ... + 4185.

Almost surely, 25042304 is an apocalyptic number.

5042304 is a gapful number since it is divisible by the number (54) 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 5042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446000).

5042304 is an abundant number, since it is smaller than the sum of its proper divisors (9849696).

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

5042304 is a wasteful number, since it uses less digits than its factorization.

5042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1464 counting only the distinct ones).

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

The square root of 5042304 is about 2245.5075150175. The cubic root of 5042304 is about 171.4784997428.

Adding to 5042304 its reverse (4032405), we get a palindrome (9074709).

The spelling of 5042304 in words is "five million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1459 1728 2918 3456 4377 5836 8754 11672 13131 17508 23344 26262 35016 39393 46688 52524 70032 78786 93376 105048 140064 157572 186752 210096 280128 315144 420192 560256 630288 840384 1260576 1680768 2521152 5042304