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2491298082 = 23272131712781
BaseRepresentation
bin1001010001111110…
…0011000100100010
320102121211001111100
42110133203010202
520100233014312
61051113055230
7115510453500
oct22437430442
96377731440
102491298082
111069300139
125963b7516
133091a36a0
14198c27670
15e8aac5dc
hex947e3122

2491298082 has 144 divisors (see below), whose sum is σ = 7160425272. Its totient is φ = 618347520.

The previous prime is 2491298077. The next prime is 2491298087. The reversal of 2491298082 is 2808921942.

It is a happy number.

2491298082 is a `hidden beast` number, since 2 + 491 + 2 + 9 + 80 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (2491298077) and next prime (2491298087).

It can be written as a sum of positive squares in 4 ways, for example, as 2250458721 + 240839361 = 47439^2 + 15519^2 .

It is a super-2 number, since 2×24912980822 = 12413132266753757448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2491298087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188532 + ... + 201312.

Almost surely, 22491298082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2491298082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580212636).

2491298082 is an abundant number, since it is smaller than the sum of its proper divisors (4669127190).

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

2491298082 is a wasteful number, since it uses less digits than its factorization.

2491298082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12833 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2491298082 is about 49912.9049645480. The cubic root of 2491298082 is about 1355.6322683895.

The spelling of 2491298082 in words is "two billion, four hundred ninety-one million, two hundred ninety-eight thousand, eighty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 49 51 63 78 91 98 102 117 119 126 147 153 182 221 234 238 273 294 306 357 441 442 546 637 663 714 819 833 882 1071 1274 1326 1547 1638 1666 1911 1989 2142 2499 3094 3822 3978 4641 4998 5733 7497 9282 10829 11466 12781 13923 14994 21658 25562 27846 32487 38343 64974 76686 89467 97461 115029 166153 178934 194922 217277 230058 268401 332306 434554 498459 536802 626269 651831 805203 996918 1163071 1252538 1303662 1495377 1520939 1610406 1878807 1955493 2326142 2824601 2990754 3041878 3489213 3757614 3910986 4562817 5636421 5649202 6978426 8141497 8473803 9125634 10467639 10646573 11272842 13688451 16282994 16947606 19772207 20935278 21293146 24424491 25421409 27376902 31939719 39544414 48848982 50842818 59316621 63879438 73273473 95819157 118633242 138405449 146546946 177949863 191638314 276810898 355899726 415216347 830432694 1245649041 2491298082