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5441688 = 233375961
BaseRepresentation
bin10100110000100010011000
3101020110121000
4110300202120
52343113223
6312345000
764152660
oct24604230
911213530
105441688
11308746a
1219a5160
131186b45
14a191a0
15727543
hex530898

5441688 has 128 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 1503360.

The previous prime is 5441671. The next prime is 5441713. The reversal of 5441688 is 8861445.

It is a super-2 number, since 2×54416882 = 59223936578688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89178 + ... + 89238.

It is an arithmetic number, because the mean of its divisors is an integer number (139500).

Almost surely, 25441688 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 5441688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

5441688 is an abundant number, since it is smaller than the sum of its proper divisors (12414312).

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

5441688 is a wasteful number, since it uses less digits than its factorization.

5441688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5441688 is about 2332.7425918862. The cubic root of 5441688 is about 175.8913758103.

The spelling of 5441688 in words is "five million, four hundred forty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 59 61 63 72 84 108 118 122 126 168 177 183 189 216 236 244 252 354 366 378 413 427 472 488 504 531 549 708 732 756 826 854 1062 1098 1239 1281 1416 1464 1512 1593 1647 1652 1708 2124 2196 2478 2562 3186 3294 3304 3416 3599 3717 3843 4248 4392 4956 5124 6372 6588 7198 7434 7686 9912 10248 10797 11151 11529 12744 13176 14396 14868 15372 21594 22302 23058 25193 28792 29736 30744 32391 43188 44604 46116 50386 64782 75579 86376 89208 92232 97173 100772 129564 151158 194346 201544 226737 259128 302316 388692 453474 604632 680211 777384 906948 1360422 1813896 2720844 5441688