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5749840 = 245411753
BaseRepresentation
bin10101111011110001010000
3101211010022001
4111323301100
52432443330
6323123344
766605245
oct25736120
911733261
105749840
113277a38
121b13554
131264195
14a995cc
157889ca
hex57bc50

5749840 has 40 divisors (see below), whose sum is σ = 13702248. Its totient is φ = 2242560.

The previous prime is 5749819. The next prime is 5749841. The reversal of 5749840 is 489475.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 5345344 = 636^2 + 2312^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5749840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5749841) 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, 2404 + ... + 4156.

Almost surely, 25749840 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 5749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851124).

5749840 is an abundant number, since it is smaller than the sum of its proper divisors (7952408).

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

5749840 is a wasteful number, since it uses less digits than its factorization.

5749840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 5749840 is about 2397.8823991180. The cubic root of 5749840 is about 179.1507318320.

The spelling of 5749840 in words is "five million, seven hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 1753 3280 3506 7012 8765 14024 17530 28048 35060 70120 71873 140240 143746 287492 359365 574984 718730 1149968 1437460 2874920 5749840