Search a number
-
+
5656000224 = 253723173793
BaseRepresentation
bin1010100010001111…
…11011011011100000
3112121011202120200210
411101013323123200
543040414001344
62333123414120
7260106131400
oct52107733340
915534676623
105656000224
112442734756
12111a224340
136c1a339c4
143b9264800
15231836db9
hex1511fb6e0

5656000224 has 144 divisors (see below), whose sum is σ = 17330051088. Its totient is φ = 1610477568.

The previous prime is 5656000213. The next prime is 5656000253. The reversal of 5656000224 is 4220006565.

It is a junction number, because it is equal to n+sod(n) for n = 5656000191 and 5656000200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1489272 + ... + 1493064.

It is an arithmetic number, because the mean of its divisors is an integer number (120347577).

Almost surely, 25656000224 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 5656000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8665025544).

5656000224 is an abundant number, since it is smaller than the sum of its proper divisors (11674050864).

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

5656000224 is a wasteful number, since it uses less digits than its factorization.

5656000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5656000224 is about 75206.3841970879. The cubic root of 5656000224 is about 1781.7077647100.

Adding to 5656000224 its reverse (4220006565), we get a palindrome (9876006789).

The spelling of 5656000224 in words is "five billion, six hundred fifty-six million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 317 336 392 588 634 672 784 951 1176 1268 1568 1902 2219 2352 2536 3793 3804 4438 4704 5072 6657 7586 7608 8876 10144 11379 13314 15172 15216 15533 17752 22758 26551 26628 30344 30432 31066 35504 45516 46599 53102 53256 60688 62132 71008 79653 91032 93198 106204 106512 121376 124264 159306 182064 185857 186396 212408 213024 248528 318612 364128 371714 372792 424816 497056 557571 637224 743428 745584 849632 1115142 1202381 1274448 1486856 1491168 2230284 2404762 2548896 2973712 3607143 4460568 4809524 5947424 7214286 8416667 8921136 9619048 14428572 16833334 17842272 19238096 25250001 28857144 33666668 38476192 50500002 57714288 58916669 67333336 101000004 115428576 117833338 134666672 176750007 202000008 235666676 269333344 353500014 404000016 471333352 707000028 808000032 942666704 1414000056 1885333408 2828000112 5656000224