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5041440 = 25345389
BaseRepresentation
bin10011001110110100100000
3100111010120000
4103032310200
52242311230
6300020000
760565035
oct23166440
910433500
105041440
112933788
121831600
131076901
1495338c
15698b60
hex4ced20

5041440 has 120 divisors (see below), whose sum is σ = 17837820. Its totient is φ = 1340928.

The previous prime is 5041433. The next prime is 5041451. The reversal of 5041440 is 441405.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 219024 = 2196^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×50414402 = 50832234547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12766 + ... + 13154.

Almost surely, 25041440 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 5041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918910).

5041440 is an abundant number, since it is smaller than the sum of its proper divisors (12796380).

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

5041440 is a wasteful number, since it uses less digits than its factorization.

5041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5041440 is about 2245.3151226498. The cubic root of 5041440 is about 171.4687048893.

Adding to 5041440 its reverse (441405), we get a palindrome (5482845).

The spelling of 5041440 in words is "five million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 389 405 432 480 540 648 720 778 810 864 1080 1167 1296 1440 1556 1620 1945 2160 2334 2592 3112 3240 3501 3890 4320 4668 5835 6224 6480 7002 7780 9336 10503 11670 12448 12960 14004 15560 17505 18672 21006 23340 28008 31120 31509 35010 37344 42012 46680 52515 56016 62240 63018 70020 84024 93360 105030 112032 126036 140040 157545 168048 186720 210060 252072 280080 315090 336096 420120 504144 560160 630180 840240 1008288 1260360 1680480 2520720 5041440