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1242112482 = 236132712
BaseRepresentation
bin100101000001001…
…0010000111100010
310012120020212000000
41022002102013202
510020440044412
6323130440430
742531532122
oct11202220742
93176225000
101242112482
1158815a546
122a7b93116
1316a44a700
14bad72c82
15740a84dc
hex4a0921e2

1242112482 has 126 divisors (see below), whose sum is σ = 3068091441. Its totient is φ = 376805520.

The previous prime is 1242112481. The next prime is 1242112519. The reversal of 1242112482 is 2842112421.

It can be written as a sum of positive squares in 2 ways, for example, as 1062042921 + 180069561 = 32589^2 + 13419^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=24921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1242112481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 17494507 + ... + 17494577.

Almost surely, 21242112482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242112482

1242112482 is an abundant number, since it is smaller than the sum of its proper divisors (1825978959).

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

1242112482 is an frugal number, since it uses more digits than its factorization.

1242112482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 89 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 1242112482 is about 35243.6161878999. The cubic root of 1242112482 is about 1074.9468102762.

Multiplying 1242112482 by its product of digits (2048), we get a square (2543846363136 = 15949442).

The spelling of 1242112482 in words is "one billion, two hundred forty-two million, one hundred twelve thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 81 117 142 162 169 213 234 243 338 351 426 486 507 639 702 729 923 1014 1053 1278 1458 1521 1846 1917 2106 2769 3042 3159 3834 4563 5041 5538 5751 6318 8307 9126 9477 10082 11502 11999 13689 15123 16614 17253 18954 23998 24921 27378 30246 34506 35997 41067 45369 49842 51759 65533 71994 74763 82134 90738 103518 107991 123201 131066 136107 149526 196599 215982 224289 246402 272214 323973 393198 408321 448578 589797 647946 672867 816642 851929 971919 1179594 1224963 1345734 1703858 1769391 1943838 2449926 2555787 2915757 3538782 3674889 5111574 5308173 5831514 7349778 7667361 8747271 10616346 15334722 15924519 17494542 23002083 31849038 46004166 47773557 69006249 95547114 138012498 207018747 414037494 621056241 1242112482