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2954286864 = 243322929863
BaseRepresentation
bin1011000000010110…
…1101011100010000
321121220000022201000
42300011231130100
522022244134424
61205052342000
7133132011144
oct26005553420
97556008630
102954286864
1112866884a1
126a5474900
1338109a449
14200507224
151245643c9
hexb016d710

2954286864 has 80 divisors (see below), whose sum is σ = 8517212800. Its totient is φ = 980429184.

The previous prime is 2954286823. The next prime is 2954286871. The reversal of 2954286864 is 4686824592.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2954286864.

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 15 ways as a sum of consecutive naturals, for example, 83997 + ... + 113859.

It is an arithmetic number, because the mean of its divisors is an integer number (106465160).

Almost surely, 22954286864 is an apocalyptic number.

2954286864 is a gapful number since it is divisible by the number (24) 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 2954286864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258606400).

2954286864 is an abundant number, since it is smaller than the sum of its proper divisors (5562925936).

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

2954286864 is a wasteful number, since it uses less digits than its factorization.

2954286864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30109 (or 30097 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 2954286864 is about 54353.3519113587. The cubic root of 2954286864 is about 1434.8865161342.

The spelling of 2954286864 in words is "two billion, nine hundred fifty-four million, two hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 229 432 458 687 916 1374 1832 2061 2748 3664 4122 5496 6183 8244 10992 12366 16488 24732 29863 32976 49464 59726 89589 98928 119452 179178 238904 268767 358356 477808 537534 716712 806301 1075068 1433424 1612602 2150136 3225204 4300272 6450408 6838627 12900816 13677254 20515881 27354508 41031762 54709016 61547643 82063524 109418032 123095286 164127048 184642929 246190572 328254096 369285858 492381144 738571716 984762288 1477143432 2954286864