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5437840 = 245101673
BaseRepresentation
bin10100101111100110010000
3101020021022111
4110233212100
52343002330
6312315104
764135522
oct24574620
911207274
105437840
113084591
1219a2a94
131185175
14a17a12
1572632a
hex52f990

5437840 has 40 divisors (see below), whose sum is σ = 12787128. Its totient is φ = 2150400.

The previous prime is 5437813. The next prime is 5437849. The reversal of 5437840 is 487345.

It can be written as a sum of positive squares in 4 ways, for example, as 1373584 + 4064256 = 1172^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5437849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7744 + ... + 8416.

Almost surely, 25437840 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 5437840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393564).

5437840 is an abundant number, since it is smaller than the sum of its proper divisors (7349288).

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

5437840 is a wasteful number, since it uses less digits than its factorization.

5437840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 5437840 is about 2331.9176657850. The cubic root of 5437840 is about 175.8499064713.

The spelling of 5437840 in words is "five million, four hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 673 808 1010 1346 1616 2020 2692 3365 4040 5384 6730 8080 10768 13460 26920 53840 67973 135946 271892 339865 543784 679730 1087568 1359460 2718920 5437840