Search a number
-
+
5559400 = 2352711192
BaseRepresentation
bin10101001101010001101000
3101110110001201
4111031101220
52410400100
6315053544
765153110
oct25152150
911413051
105559400
113157950
121a412b4
1311c85b2
14a4a040
1574c36a
hex54d468

5559400 has 144 divisors (see below), whose sum is σ = 17007840. Its totient is φ = 1641600.

The previous prime is 5559383. The next prime is 5559401. The reversal of 5559400 is 49555.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5559401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292591 + ... + 292609.

It is an arithmetic number, because the mean of its divisors is an integer number (118110).

Almost surely, 25559400 is an apocalyptic number.

5559400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5559400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503920).

5559400 is an abundant number, since it is smaller than the sum of its proper divisors (11448440).

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

5559400 is a wasteful number, since it uses less digits than its factorization.

5559400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 5559400 is about 2357.8379927383. The cubic root of 5559400 is about 177.1506054289.

The spelling of 5559400 in words is "five million, five hundred fifty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 25 28 35 38 40 44 50 55 56 70 76 77 88 95 100 110 133 140 152 154 175 190 200 209 220 266 275 280 308 350 361 380 385 418 440 475 532 550 616 665 700 722 760 770 836 950 1045 1064 1100 1330 1400 1444 1463 1540 1672 1805 1900 1925 2090 2200 2527 2660 2888 2926 3080 3325 3610 3800 3850 3971 4180 5054 5225 5320 5852 6650 7220 7315 7700 7942 8360 9025 10108 10450 11704 12635 13300 14440 14630 15400 15884 18050 19855 20216 20900 25270 26600 27797 29260 31768 36100 36575 39710 41800 50540 55594 58520 63175 72200 73150 79420 99275 101080 111188 126350 138985 146300 158840 198550 222376 252700 277970 292600 397100 505400 555940 694925 794200 1111880 1389850 2779700 5559400