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2996293146 = 2371117478117
BaseRepresentation
bin1011001010010111…
…1100111000011010
321201211001110111020
42302211330320122
522114022340041
61213152543310
7134152033350
oct26245747032
97654043436
102996293146
1112a8369430
126b7551b36
133899b7232
14205d1d7d0
151280b0866
hexb297ce1a

2996293146 has 128 divisors (see below), whose sum is σ = 8080072704. Its totient is φ = 716805120.

The previous prime is 2996293133. The next prime is 2996293147. The reversal of 2996293146 is 6413926992.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2996293147) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 365080 + ... + 373196.

It is an arithmetic number, because the mean of its divisors is an integer number (63125568).

Almost surely, 22996293146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996293146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040036352).

2996293146 is an abundant number, since it is smaller than the sum of its proper divisors (5083779558).

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

2996293146 is a wasteful number, since it uses less digits than its factorization.

2996293146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204.

The product of its digits is 1259712, while the sum is 51.

The square root of 2996293146 is about 54738.4064985454. The cubic root of 2996293146 is about 1441.6553023009.

The spelling of 2996293146 in words is "two billion, nine hundred ninety-six million, two hundred ninety-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 47 51 66 77 94 102 119 141 154 187 231 238 282 329 357 374 462 517 561 658 714 799 987 1034 1122 1309 1551 1598 1974 2397 2618 3102 3619 3927 4794 5593 7238 7854 8117 8789 10857 11186 16234 16779 17578 21714 24351 26367 33558 48702 52734 56819 61523 89287 113638 123046 137989 170457 178574 184569 267861 275978 340914 369138 381499 413967 535722 625009 762998 827934 965923 1144497 1250018 1517879 1875027 1931846 2288994 2670493 2897769 3035758 3750054 4196489 4553637 5340986 5795538 6485483 8011479 8392978 9107274 10625153 12589467 12970966 16022958 19456449 21250306 25178934 29375423 31875459 38912898 45398381 58750846 63750918 71340313 88126269 90796762 136195143 142680626 176252538 214020939 272390286 428041878 499382191 998764382 1498146573 2996293146