Search a number
-
+
6242752890 = 2335115234019
BaseRepresentation
bin1011101000001100…
…01101100101111010
3121010001211201001000
411310012031211322
5100241121043030
62511243505430
7310462344513
oct56406154572
917101751030
106242752890
112713964710
121262828276
1378647192a
1443315da0a
152680d9860
hex17418d97a

6242752890 has 128 divisors (see below), whose sum is σ = 18199987200. Its totient is φ = 1510125120.

The previous prime is 6242752877. The next prime is 6242752891. The reversal of 6242752890 is 982572426.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6242752891) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1551301 + ... + 1555319.

It is an arithmetic number, because the mean of its divisors is an integer number (142187400).

Almost surely, 26242752890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6242752890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099993600).

6242752890 is an abundant number, since it is smaller than the sum of its proper divisors (11957234310).

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

6242752890 is a wasteful number, since it uses less digits than its factorization.

6242752890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6242752890 is about 79011.0934616146. The cubic root of 6242752890 is about 1841.3035117868.

The spelling of 6242752890 in words is "six billion, two hundred forty-two million, seven hundred fifty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 523 594 990 1046 1485 1569 2615 2970 3138 4019 4707 5230 5753 7845 8038 9414 11506 12057 14121 15690 17259 20095 23535 24114 28242 28765 34518 36171 40190 44209 47070 51777 57530 60285 70605 72342 86295 88418 103554 108513 120570 132627 141210 155331 172590 180855 217026 221045 258885 265254 310662 361710 397881 442090 517770 542565 663135 776655 795762 1085130 1193643 1326270 1553310 1989405 2101937 2387286 3978810 4203874 5968215 6305811 10509685 11936430 12611622 18917433 21019370 23121307 31529055 37834866 46242614 56752299 63058110 69363921 94587165 113504598 115606535 138727842 189174330 208091763 231213070 283761495 346819605 416183526 567522990 624275289 693639210 1040458815 1248550578 2080917630 3121376445 6242752890