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5052384 = 253253331
BaseRepresentation
bin10011010001011111100000
3100111200120100
4103101133200
52243134014
6300142400
760641661
oct23213740
910450510
105052384
112940a27
121837a00
13107b89c
14957368
1569c009
hex4d17e0

5052384 has 72 divisors (see below), whose sum is σ = 14683032. Its totient is φ = 1647360.

The previous prime is 5052373. The next prime is 5052391. The reversal of 5052384 is 4832505.

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

It is a congruent number.

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, 15099 + ... + 15429.

It is an arithmetic number, because the mean of its divisors is an integer number (203931).

Almost surely, 25052384 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 5052384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341516).

5052384 is an abundant number, since it is smaller than the sum of its proper divisors (9630648).

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

5052384 is a wasteful number, since it uses less digits than its factorization.

5052384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5052384 is about 2247.7508758757. The cubic root of 5052384 is about 171.5926904478.

Adding to 5052384 its reverse (4832505), we get a palindrome (9884889).

The spelling of 5052384 in words is "five million, fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 331 424 477 636 662 848 954 993 1272 1324 1696 1908 1986 2544 2648 2979 3816 3972 5088 5296 5958 7632 7944 10592 11916 15264 15888 17543 23832 31776 35086 47664 52629 70172 95328 105258 140344 157887 210516 280688 315774 421032 561376 631548 842064 1263096 1684128 2526192 5052384