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2868103248 = 2432937233239
BaseRepresentation
bin1010101011110011…
…1100100001010000
321101212211202000020
42222330330201100
521333213300443
61152333223440
7131034322023
oct25274744120
97355752006
102868103248
111241a7346a
12680631b80
1336928361a
141d2cb11ba
1511bbdd583
hexaaf3c850

2868103248 has 160 divisors (see below), whose sum is σ = 7938777600. Its totient is φ = 890523648.

The previous prime is 2868103247. The next prime is 2868103253. The reversal of 2868103248 is 8423018682.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868103241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12000313 + ... + 12000551.

It is an arithmetic number, because the mean of its divisors is an integer number (49617360).

Almost surely, 22868103248 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 2868103248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969388800).

2868103248 is an abundant number, since it is smaller than the sum of its proper divisors (5070674352).

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

2868103248 is a wasteful number, since it uses less digits than its factorization.

2868103248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2868103248 is about 53554.6753141124. The cubic root of 2868103248 is about 1420.7955682107.

It can be divided in two parts, 2868 and 103248, that multiplied together give a square (296115264 = 172082).

The spelling of 2868103248 in words is "two billion, eight hundred sixty-eight million, one hundred three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 174 222 232 233 239 296 348 444 464 466 478 592 696 699 717 888 932 956 1073 1392 1398 1434 1776 1864 1912 2146 2796 2868 3219 3728 3824 4292 5592 5736 6438 6757 6931 8584 8621 8843 11184 11472 12876 13514 13862 17168 17242 17686 20271 20793 25752 25863 26529 27028 27724 34484 35372 40542 41586 51504 51726 53058 54056 55448 55687 68968 70744 81084 83172 103452 106116 108112 110896 111374 137936 141488 162168 166344 167061 206904 212232 222748 250009 256447 324336 332688 334122 413808 424464 445496 500018 512894 668244 750027 769341 890992 1000036 1025788 1336488 1500054 1538682 1614923 2000072 2051576 2060419 2672976 3000108 3077364 3229846 4000144 4103152 4120838 4844769 6000216 6154728 6181257 6459692 8241676 9689538 12000432 12309456 12362514 12919384 16483352 19379076 24725028 25838768 32966704 38758152 49450056 59752151 77516304 98900112 119504302 179256453 239008604 358512906 478017208 717025812 956034416 1434051624 2868103248