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987342642 = 2331113294409
BaseRepresentation
bin111010110110011…
…010011100110010
32112210212012111000
4322312122130302
54010224431032
6241550102430
733316162656
oct7266323462
92483765430
10987342642
11467369160
122367aaa16
13129727c20
14951b4a66
155ba30e7c
hex3ad9a732

987342642 has 128 divisors (see below), whose sum is σ = 2667168000. Its totient is φ = 266595840.

The previous prime is 987342641. The next prime is 987342647. The reversal of 987342642 is 246243789.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (987342641) 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, 221734 + ... + 226142.

It is an arithmetic number, because the mean of its divisors is an integer number (20837250).

Almost surely, 2987342642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987342642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333584000).

987342642 is an abundant number, since it is smaller than the sum of its proper divisors (1679825358).

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

987342642 is a wasteful number, since it uses less digits than its factorization.

987342642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4467 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 987342642 is about 31422.0088791280. The cubic root of 987342642 is about 995.7629534586.

The spelling of 987342642 in words is "nine hundred eighty-seven million, three hundred forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 29 33 39 54 58 66 78 87 99 117 143 174 198 234 261 286 297 319 351 377 429 522 594 638 702 754 783 858 957 1131 1287 1566 1914 2262 2574 2871 3393 3861 4147 4409 5742 6786 7722 8294 8613 8818 10179 12441 13227 17226 20358 24882 26454 37323 39681 48499 57317 74646 79362 96998 111969 114634 119043 127861 145497 171951 223938 238086 255722 290994 343902 383583 436491 515853 630487 767166 872982 1031706 1150749 1260974 1309473 1406471 1547559 1662193 1891461 2301498 2618946 2812942 3095118 3324386 3452247 3782922 4219413 4986579 5674383 6904494 8438826 9973158 11348766 12658239 14959737 17023149 18284123 25316478 29919474 34046298 36568246 37974717 44879211 54852369 75949434 89758422 109704738 164557107 329114214 493671321 987342642