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5790440 = 235192401
BaseRepresentation
bin10110000101101011101000
3101220011222202
4112011223220
52440243230
6324035332
7100134515
oct26055350
911804882
105790440
1132a5497
121b32b48
1312797c6
14aaa30c
15795a45
hex585ae8

5790440 has 48 divisors (see below), whose sum is σ = 13784580. Its totient is φ = 2188800.

The previous prime is 5790439. The next prime is 5790451. The reversal of 5790440 is 440975.

It can be written as a sum of positive squares in 2 ways, for example, as 5373124 + 417316 = 2318^2 + 646^2 .

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, 14240 + ... + 14640.

Almost surely, 25790440 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 5790440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892290).

5790440 is an abundant number, since it is smaller than the sum of its proper divisors (7994140).

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

5790440 is a wasteful number, since it uses less digits than its factorization.

5790440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 5790440 is about 2406.3333102461. Note that the first 4 decimals coincide. The cubic root of 5790440 is about 179.5714082888.

The spelling of 5790440 in words is "five million, seven hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 401 722 760 802 1444 1604 1805 2005 2888 3208 3610 4010 7220 7619 8020 14440 15238 16040 30476 38095 60952 76190 144761 152380 289522 304760 579044 723805 1158088 1447610 2895220 5790440