Search a number
-
+
56383600 = 24527131549
BaseRepresentation
bin1101011100010…
…1100001110000
310221002120202111
43113011201300
5103413233400
65332255104
71253152450
oct327054160
9127076674
1056383600
1129910919
1216a71494
13b8b1ba0
1476b9d60
154e3b3ba
hex35c5870

56383600 has 120 divisors (see below), whose sum is σ = 166829600. Its totient is φ = 17832960.

The previous prime is 56383589. The next prime is 56383601. The reversal of 56383600 is 638365.

It is a super-2 number, since 2×563836002 = 6358220697920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56383601) 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, 35626 + ... + 37174.

Almost surely, 256383600 is an apocalyptic number.

56383600 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 56383600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83414800).

56383600 is an abundant number, since it is smaller than the sum of its proper divisors (110446000).

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

56383600 is a wasteful number, since it uses less digits than its factorization.

56383600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 56383600 is about 7508.9013843571. The cubic root of 56383600 is about 383.4578213617.

The spelling of 56383600 in words is "fifty-six million, three hundred eighty-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1549 1820 2275 2600 2800 3098 3640 4550 5200 6196 7280 7745 9100 10843 12392 15490 18200 20137 21686 24784 30980 36400 38725 40274 43372 54215 61960 77450 80548 86744 100685 108430 123920 140959 154900 161096 173488 201370 216860 271075 281918 309800 322192 402740 433720 503425 542150 563836 619600 704795 805480 867440 1006850 1084300 1127672 1409590 1610960 2013700 2168600 2255344 2819180 3523975 4027400 4337200 5638360 7047950 8054800 11276720 14095900 28191800 56383600