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2871459396 = 22341322292
BaseRepresentation
bin1010101100100110…
…1111111001000100
321102010011020210000
42223021233321010
521340043200041
61152533201300
7131105000511
oct25311577104
97363136700
102871459396
111243955a43
12681790230
13369b8a100
141d3506308
1511c152bb6
hexab26fe44

2871459396 has 135 divisors (see below), whose sum is σ = 8164057671. Its totient is φ = 879667776.

The previous prime is 2871459343. The next prime is 2871459433. The reversal of 2871459396 is 6939541782.

The square root of 2871459396 is 53586.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48024900 + 2823434496 = 6930^2 + 53136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 12539010 + ... + 12539238.

Almost surely, 22871459396 is an apocalyptic number.

2871459396 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2871459396 is the 53586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2871459396

2871459396 is an abundant number, since it is smaller than the sum of its proper divisors (5292598275).

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

2871459396 is a wasteful number, since it uses less digits than its factorization.

2871459396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 247 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The cubic root of 2871459396 is about 1421.3495396063.

The spelling of 2871459396 in words is "two billion, eight hundred seventy-one million, four hundred fifty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 229 234 324 338 351 458 468 507 676 687 702 916 1014 1053 1374 1404 1521 2028 2061 2106 2748 2977 3042 4122 4212 4563 5954 6084 6183 8244 8931 9126 11908 12366 13689 17862 18252 18549 24732 26793 27378 35724 37098 38701 52441 53586 54756 74196 77402 80379 104882 107172 116103 154804 157323 160758 209764 232206 241137 314646 321516 348309 464412 471969 482274 629292 681733 696618 943938 964548 1044927 1363466 1393236 1415907 1887876 2045199 2089854 2726932 2831814 3134781 4090398 4179708 4247721 5663628 6135597 6269562 8180796 8495442 8862529 12271194 12539124 16990884 17725058 18406791 24542388 26587587 35450116 36813582 53175174 55220373 73627164 79762761 106350348 110440746 159525522 220881492 239288283 319051044 478576566 717864849 957153132 1435729698 2871459396