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5373584 = 242937313
BaseRepresentation
bin10100011111111010010000
3101010000011122
4110133322100
52333423314
6311101412
763450266
oct24377220
911100148
105373584
113040287
121971868
131161b48
149dc436
1571228e
hex51fe90

5373584 has 40 divisors (see below), whose sum is σ = 11096760. Its totient is φ = 2515968.

The previous prime is 5373527. The next prime is 5373587. The reversal of 5373584 is 4853735.

It can be written as a sum of positive squares in 4 ways, for example, as 409600 + 4963984 = 640^2 + 2228^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5373587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17012 + ... + 17324.

It is an arithmetic number, because the mean of its divisors is an integer number (277419).

Almost surely, 25373584 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 5373584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548380).

5373584 is an abundant number, since it is smaller than the sum of its proper divisors (5723176).

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

5373584 is a wasteful number, since it uses less digits than its factorization.

5373584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 5373584 is about 2318.0992213449. The cubic root of 5373584 is about 175.1545193066.

It can be divided in two parts, 53 and 73584, that added together give a palindrome (73637).

The spelling of 5373584 in words is "five million, three hundred seventy-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 313 464 592 626 1073 1252 2146 2504 4292 5008 8584 9077 11581 17168 18154 23162 36308 46324 72616 92648 145232 185296 335849 671698 1343396 2686792 5373584