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5033728 = 287532
BaseRepresentation
bin10011001100111100000000
3100110201222101
4103030330000
52242034403
6255520144
760533410
oct23147400
910421871
105033728
112928a07
121829054
13107324b
14950640
1569671d
hex4ccf00

5033728 has 54 divisors (see below), whose sum is σ = 11703944. Its totient is φ = 2116608.

The previous prime is 5033723. The next prime is 5033731. The reversal of 5033728 is 8273305.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5033696 and 5033705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5033723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94950 + ... + 95002.

Almost surely, 25033728 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 5033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851972).

5033728 is an abundant number, since it is smaller than the sum of its proper divisors (6670216).

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

5033728 is an frugal number, since it uses more digits than its factorization.

5033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 5033728 is about 2243.5971117828. The cubic root of 5033728 is about 171.3812271375.

Multiplying 5033728 by its sum of digits (28), we get a square (140944384 = 118722).

5033728 divided by its sum of digits (28) gives a square (179776 = 4242).

The spelling of 5033728 in words is "five million, thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 742 848 896 1484 1696 1792 2809 2968 3392 5618 5936 6784 11236 11872 13568 19663 22472 23744 39326 44944 47488 78652 89888 94976 157304 179776 314608 359552 629216 719104 1258432 2516864 5033728