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642028860 = 2232511714567
BaseRepresentation
bin100110010001001…
…001010100111100
31122202002110000200
4212101021110330
52303324410420
6143412523500
721624104154
oct4621112474
91582073020
10642028860
112aa454870
1215b020590
13a3022a45
14613a7764
153b570b90
hex2644953c

642028860 has 144 divisors (see below), whose sum is σ = 2154926592. Its totient is φ = 153417600.

The previous prime is 642028859. The next prime is 642028927. The reversal of 642028860 is 68820246.

642028860 is a `hidden beast` number, since 642 + 0 + 2 + 8 + 8 + 6 + 0 = 666.

642028860 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138297 + ... + 142863.

It is an arithmetic number, because the mean of its divisors is an integer number (14964768).

Almost surely, 2642028860 is an apocalyptic number.

642028860 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642028860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077463296).

642028860 is an abundant number, since it is smaller than the sum of its proper divisors (1512897732).

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

642028860 is a wasteful number, since it uses less digits than its factorization.

642028860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 642028860 is about 25338.2884189126. The cubic root of 642028860 is about 862.6835500976.

The spelling of 642028860 in words is "six hundred forty-two million, twenty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 426 495 639 660 710 781 852 990 1065 1278 1420 1562 1980 2130 2343 2556 3124 3195 3905 4260 4567 4686 6390 7029 7810 9134 9372 11715 12780 13701 14058 15620 18268 22835 23430 27402 28116 35145 41103 45670 46860 50237 54804 68505 70290 82206 91340 100474 137010 140580 150711 164412 200948 205515 251185 274020 301422 324257 411030 452133 502370 602844 648514 753555 822060 904266 972771 1004740 1297028 1507110 1621285 1808532 1945542 2260665 2918313 3014220 3242570 3566827 3891084 4521330 4863855 5836626 6485140 7133654 9042660 9727710 10700481 11673252 14267308 14591565 17834135 19455420 21400962 29183130 32101443 35668270 42801924 53502405 58366260 64202886 71336540 107004810 128405772 160507215 214009620 321014430 642028860