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5827040 = 25579461
BaseRepresentation
bin10110001110100111100000
3101222001012022
4112032213200
52442431130
6324521012
7100346312
oct26164740
911861168
105827040
11331aa3a
121b50168
13129036b
14ab97b2
157a17e5
hex58e9e0

5827040 has 48 divisors (see below), whose sum is σ = 13970880. Its totient is φ = 2296320.

The previous prime is 5827037. The next prime is 5827049. The reversal of 5827040 is 407285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5827049) 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, 12410 + ... + 12870.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 25827040 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 5827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985440).

5827040 is an abundant number, since it is smaller than the sum of its proper divisors (8143840).

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

5827040 is a wasteful number, since it uses less digits than its factorization.

5827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 5827040 is about 2413.9262623369. The cubic root of 5827040 is about 179.9489567202.

The spelling of 5827040 in words is "five million, eight hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 461 632 790 922 1264 1580 1844 2305 2528 3160 3688 4610 6320 7376 9220 12640 14752 18440 36419 36880 72838 73760 145676 182095 291352 364190 582704 728380 1165408 1456760 2913520 5827040