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5442600 = 2335247193
BaseRepresentation
bin10100110000110000101000
3101020111211210
4110300300220
52343130400
6312353120
764155432
oct24606050
911214753
105442600
113088119
1219a57a0
131187397
14a19652
15727950
hex530c28

5442600 has 96 divisors (see below), whose sum is σ = 17320320. Its totient is φ = 1413120.

The previous prime is 5442581. The next prime is 5442629. The reversal of 5442600 is 62445.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28104 + ... + 28296.

It is an arithmetic number, because the mean of its divisors is an integer number (180420).

Almost surely, 25442600 is an apocalyptic number.

5442600 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 5442600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660160).

5442600 is an abundant number, since it is smaller than the sum of its proper divisors (11877720).

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

5442600 is a wasteful number, since it uses less digits than its factorization.

5442600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5442600 is about 2332.9380617582. The cubic root of 5442600 is about 175.9012014363.

The spelling of 5442600 in words is "five million, four hundred forty-two thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 193 200 235 282 300 376 386 470 564 579 600 705 772 940 965 1128 1158 1175 1410 1544 1880 1930 2316 2350 2820 2895 3525 3860 4632 4700 4825 5640 5790 7050 7720 9071 9400 9650 11580 14100 14475 18142 19300 23160 27213 28200 28950 36284 38600 45355 54426 57900 72568 90710 108852 115800 136065 181420 217704 226775 272130 362840 453550 544260 680325 907100 1088520 1360650 1814200 2721300 5442600