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1940642496 = 26331386389
BaseRepresentation
bin111001110101011…
…1101101011000000
312000020122212001000
41303222331223000
512433301024441
6520322412000
766043121562
oct16352755300
95006585030
101940642496
11906495481
12461b01000
1324c093990
14145a47332
15b558a2b6
hex73abdac0

1940642496 has 112 divisors (see below), whose sum is σ = 6144056800. Its totient is φ = 597113856.

The previous prime is 1940642491. The next prime is 1940642507. The reversal of 1940642496 is 6942460491.

It is a super-2 number, since 2×19406424962 = 7532186594562220032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1940642491) 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 15 ways as a sum of consecutive naturals, for example, 20731 + ... + 65658.

It is an arithmetic number, because the mean of its divisors is an integer number (54857650).

Almost surely, 21940642496 is an apocalyptic number.

1940642496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1940642496 is an abundant number, since it is smaller than the sum of its proper divisors (4203414304).

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

1940642496 is a wasteful number, since it uses less digits than its factorization.

1940642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86423 (or 86407 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1940642496 is about 44052.7240474412. The cubic root of 1940642496 is about 1247.3313726100.

The spelling of 1940642496 in words is "one billion, nine hundred forty million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 86389 172778 259167 345556 518334 691112 777501 1036668 1123057 1382224 1555002 2073336 2246114 2332503 2764448 3110004 3369171 4146672 4492228 4665006 5528896 6220008 6738342 8293344 8984456 9330012 10107513 12440016 13476684 16586688 17968912 18660024 20215026 24880032 26953368 30322539 35937824 37320048 40430052 49760064 53906736 60645078 71875648 74640096 80860104 107813472 121290156 149280192 161720208 215626944 242580312 323440416 485160624 646880832 970321248 1940642496