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810913488 = 2437111511453
BaseRepresentation
bin110000010101011…
…000111011010000
32002111212200011220
4300111120323100
53130043212423
6212244405040
726044436160
oct6025307320
92074780156
10810913488
11386815340
121a76a6780
13cc004488
14799aa5a0
154b2d09e3
hex30558ed0

810913488 has 160 divisors (see below), whose sum is σ = 2630879232. Its totient is φ = 209088000.

The previous prime is 810913471. The next prime is 810913489. The reversal of 810913488 is 884319018.

It is a super-2 number, since 2×8109134882 = 1315161370040652288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810913489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557370 + ... + 558822.

Almost surely, 2810913488 is an apocalyptic number.

810913488 is a gapful number since it is divisible by the number (88) 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 810913488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315439616).

810913488 is an abundant number, since it is smaller than the sum of its proper divisors (1819965744).

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

810913488 is a wasteful number, since it uses less digits than its factorization.

810913488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 810913488 is about 28476.5427676886. The cubic root of 810913488 is about 932.5200423113.

The spelling of 810913488 in words is "eight hundred ten million, nine hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 151 154 168 176 231 264 302 308 336 453 462 528 604 616 906 924 1057 1208 1232 1453 1661 1812 1848 2114 2416 2906 3171 3322 3624 3696 4228 4359 4983 5812 6342 6644 7248 8456 8718 9966 10171 11624 11627 12684 13288 15983 16912 17436 19932 20342 23248 23254 25368 26576 30513 31966 34872 34881 39864 40684 46508 47949 50736 61026 63932 69744 69762 79728 81368 93016 95898 111881 122052 127864 139524 162736 186032 191796 219403 223762 244104 255728 279048 335643 383592 438806 447524 488208 558096 658209 671286 767184 877612 895048 1316418 1342572 1535821 1755224 1790096 2413433 2632836 2685144 3071642 3510448 4607463 4826866 5265672 5370288 6143284 7240299 9214926 9653732 10531344 12286568 14480598 16894031 18429852 19307464 24573136 28961196 33788062 36859704 38614928 50682093 57922392 67576124 73719408 101364186 115844784 135152248 202728372 270304496 405456744 810913488