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5402304 = 263283113
BaseRepresentation
bin10100100110111011000000
3101011110120100
4110212323000
52340333204
6311442400
763630105
oct24467300
911143510
105402304
11305a916
121986400
131171c3b
14a08aac
1571aa39
hex526ec0

5402304 has 84 divisors (see below), whose sum is σ = 15809976. Its totient is φ = 1763328.

The previous prime is 5402303. The next prime is 5402317. The reversal of 5402304 is 4032045.

It is a happy number.

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 (5402303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47752 + ... + 47864.

It is an arithmetic number, because the mean of its divisors is an integer number (188214).

Almost surely, 25402304 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 5402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904988).

5402304 is an abundant number, since it is smaller than the sum of its proper divisors (10407672).

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

5402304 is a wasteful number, since it uses less digits than its factorization.

5402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

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

The square root of 5402304 is about 2324.2856967249. The cubic root of 5402304 is about 175.4660123630.

Adding to 5402304 its reverse (4032045), we get a palindrome (9434349).

The spelling of 5402304 in words is "five million, four hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 113 144 166 192 226 249 288 332 339 452 498 576 664 678 747 904 996 1017 1328 1356 1494 1808 1992 2034 2656 2712 2988 3616 3984 4068 5312 5424 5976 7232 7968 8136 9379 10848 11952 15936 16272 18758 21696 23904 28137 32544 37516 47808 56274 65088 75032 84411 112548 150064 168822 225096 300128 337644 450192 600256 675288 900384 1350576 1800768 2701152 5402304