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5442580 = 22511213173
BaseRepresentation
bin10100110000110000010100
3101020111211001
4110300300110
52343130310
6312353044
764155403
oct24606024
911214731
105442580
113088100
1219a5784
131187380
14a1963a
1572793a
hex530c14

5442580 has 72 divisors (see below), whose sum is σ = 13607496. Its totient is φ = 1816320.

The previous prime is 5442571. The next prime is 5442581. The reversal of 5442580 is 852445.

5442580 = 3902 + 3912 + ... + 4222.

It can be written as a sum of positive squares in 4 ways, for example, as 698896 + 4743684 = 836^2 + 2178^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5442581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31374 + ... + 31546.

It is an arithmetic number, because the mean of its divisors is an integer number (188993).

Almost surely, 25442580 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 5442580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803748).

5442580 is an abundant number, since it is smaller than the sum of its proper divisors (8164916).

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

5442580 is a wasteful number, since it uses less digits than its factorization.

5442580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 5442580 is about 2332.9337753138. The cubic root of 5442580 is about 175.9009859738.

The spelling of 5442580 in words is "five million, four hundred forty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 173 220 242 260 286 346 484 572 605 692 715 865 1210 1430 1573 1730 1903 2249 2420 2860 3146 3460 3806 4498 6292 7612 7865 8996 9515 11245 15730 19030 20933 22490 24739 31460 38060 41866 44980 49478 83732 98956 104665 123695 209330 247390 272129 418660 494780 544258 1088516 1360645 2721290 5442580