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997747146 = 234112943449
BaseRepresentation
bin111011011110000…
…110100111001010
32120112102210210000
4323132012213022
54020410402041
6243001103430
733503465544
oct7336064712
92515383700
10997747146
11472225220
1223a187b76
1312b92b936
1496722694
155c8d8bb6
hex3b7869ca

997747146 has 160 divisors (see below), whose sum is σ = 2587464000. Its totient is φ = 284497920.

The previous prime is 997747129. The next prime is 997747151. The reversal of 997747146 is 641747799.

It is a super-2 number, since 2×9977471462 = 1990998734702290632, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 997747092 and 997747101.

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 79 ways as a sum of consecutive naturals, for example, 2221930 + ... + 2222378.

It is an arithmetic number, because the mean of its divisors is an integer number (16171650).

Almost surely, 2997747146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997747146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293732000).

997747146 is an abundant number, since it is smaller than the sum of its proper divisors (1589716854).

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

997747146 is a wasteful number, since it uses less digits than its factorization.

997747146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 997747146 is about 31587.1357675874. The cubic root of 997747146 is about 999.2484840319.

The spelling of 997747146 in words is "nine hundred ninety-seven million, seven hundred forty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 43 54 58 66 81 86 87 99 129 162 174 198 258 261 297 319 387 449 473 522 594 638 774 783 891 898 946 957 1161 1247 1347 1419 1566 1782 1914 2322 2349 2494 2694 2838 2871 3483 3741 4041 4257 4698 4939 5742 6966 7482 8082 8514 8613 9878 11223 12123 12771 13021 13717 14817 17226 19307 22446 24246 25542 25839 26042 27434 29634 33669 36369 38313 38614 39063 41151 44451 51678 57921 67338 72738 76626 78126 82302 88902 101007 115842 117189 123453 133353 143231 173763 202014 212377 234378 246906 266706 286462 347526 351567 370359 400059 424754 429693 521289 559903 637131 703134 740718 800118 859386 1042578 1054701 1111077 1119806 1274262 1289079 1563867 1679709 1911393 2109402 2222154 2578158 3127734 3359418 3822786 3867237 5039127 5734179 6158933 7734474 10078254 11468358 11601711 12317866 15117381 17202537 18476799 23203422 30234762 34405074 36953598 45352143 55430397 90704286 110860794 166291191 332582382 498873573 997747146