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5790408 = 2331367277
BaseRepresentation
bin10110000101101011001000
3101220011221120
4112011223020
52440243113
6324035240
7100134441
oct26055310
911804846
105790408
1132a5468
121b32b20
1312797a0
14aaa2c8
15795a23
hex585ac8

5790408 has 64 divisors (see below), whose sum is σ = 15879360. Its totient is φ = 1748736.

The previous prime is 5790377. The next prime is 5790419. The reversal of 5790408 is 8040975.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20766 + ... + 21042.

It is an arithmetic number, because the mean of its divisors is an integer number (248115).

Almost surely, 25790408 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 5790408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939680).

5790408 is an abundant number, since it is smaller than the sum of its proper divisors (10088952).

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

5790408 is a wasteful number, since it uses less digits than its factorization.

5790408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5790408 is about 2406.3266611165. The cubic root of 5790408 is about 179.5710774966.

The spelling of 5790408 in words is "five million, seven hundred ninety thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 277 312 402 536 554 804 831 871 1108 1608 1662 1742 2216 2613 3324 3484 3601 5226 6648 6968 7202 10452 10803 14404 18559 20904 21606 28808 37118 43212 55677 74236 86424 111354 148472 222708 241267 445416 482534 723801 965068 1447602 1930136 2895204 5790408