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5581872 = 24345973
BaseRepresentation
bin10101010010110000110000
3101111120220000
4111102300300
52412104442
6315350000
765305452
oct25226060
911446800
105581872
11317281a
121a52300
1312058aa
14a542d2
15753d4c
hex552c30

5581872 has 100 divisors (see below), whose sum is σ = 16654440. Its totient is φ = 1804032.

The previous prime is 5581871. The next prime is 5581897. The reversal of 5581872 is 2781855.

5581872 is a `hidden beast` number, since 5 + 581 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5581871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76428 + ... + 76500.

Almost surely, 25581872 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 5581872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8327220).

5581872 is an abundant number, since it is smaller than the sum of its proper divisors (11072568).

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

5581872 is a wasteful number, since it uses less digits than its factorization.

5581872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 5581872 is about 2362.5985693723. The cubic root of 5581872 is about 177.3889750710.

The spelling of 5581872 in words is "five million, five hundred eighty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 73 81 108 118 144 146 162 177 216 219 236 292 324 354 432 438 472 531 584 648 657 708 876 944 1062 1168 1296 1314 1416 1593 1752 1971 2124 2628 2832 3186 3504 3942 4248 4307 4779 5256 5913 6372 7884 8496 8614 9558 10512 11826 12744 12921 15768 17228 19116 23652 25488 25842 31536 34456 38232 38763 47304 51684 68912 76464 77526 94608 103368 116289 155052 206736 232578 310104 348867 465156 620208 697734 930312 1395468 1860624 2790936 5581872