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2842498008 = 233476110273
BaseRepresentation
bin1010100101101101…
…0001001111011000
321100002122212020000
42221123101033120
521310134414013
61150020333000
7130303556130
oct25133211730
97302585200
102842498008
111229574909
12673b44160
13363b89aac
141cd727ac0
15119831973
hexa96d13d8

2842498008 has 160 divisors (see below), whose sum is σ = 9249065760. Its totient is φ = 798750720.

The previous prime is 2842498003. The next prime is 2842498049. The reversal of 2842498008 is 8008942482.

It is a happy number.

2842498008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842498003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 271560 + ... + 281832.

It is an arithmetic number, because the mean of its divisors is an integer number (57806661).

Almost surely, 22842498008 is an apocalyptic number.

2842498008 is a gapful number since it is divisible by the number (28) 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 2842498008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624532880).

2842498008 is an abundant number, since it is smaller than the sum of its proper divisors (6406567752).

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

2842498008 is a wasteful number, since it uses less digits than its factorization.

2842498008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10359 (or 10346 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2842498008 is about 53315.0823688757. The cubic root of 2842498008 is about 1416.5548314085.

The spelling of 2842498008 in words is "two billion, eight hundred forty-two million, four hundred ninety-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 81 84 108 122 126 162 168 183 189 216 244 252 324 366 378 427 488 504 549 567 648 732 756 854 1098 1134 1281 1464 1512 1647 1708 2196 2268 2562 3294 3416 3843 4392 4536 4941 5124 6588 7686 9882 10248 10273 11529 13176 15372 19764 20546 23058 30744 30819 34587 39528 41092 46116 61638 69174 71911 82184 92232 92457 123276 138348 143822 184914 215733 246552 276696 277371 287644 369828 431466 554742 575288 626653 647199 739656 832113 862932 1109484 1253306 1294398 1664226 1725864 1879959 1941597 2218968 2506612 2588796 3328452 3759918 3883194 4386571 5013224 5177592 5639877 5824791 6656904 7519836 7766388 8773142 11279754 11649582 13159713 15039672 15532776 16919631 17546284 22559508 23299164 26319426 33839262 35092568 39479139 45119016 46598328 50758893 52638852 67678524 78958278 101517786 105277704 118437417 135357048 157916556 203035572 236874834 315833112 355312251 406071144 473749668 710624502 947499336 1421249004 2842498008