Search a number
-
+
289245542982 = 23116018878221
BaseRepresentation
bin1000011010110000110…
…00001011101001000110
31000122121000112000011020
410031120120023221012
514214333324333412
6340513315452010
726616526356264
oct4153030135106
91018530460136
10289245542982
111017396285a0
12480838b7006
1321377a46086
14dddcb0b434
1577cd47318c
hex435860ba46

289245542982 has 64 divisors (see below), whose sum is σ = 632920877568. Its totient is φ = 87395040000.

The previous prime is 289245542953. The next prime is 289245542987.

289245542982 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289245542987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35179632 + ... + 35187852.

It is an arithmetic number, because the mean of its divisors is an integer number (9889388712).

Almost surely, 2289245542982 is an apocalyptic number.

289245542982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

289245542982 is an abundant number, since it is smaller than the sum of its proper divisors (343675334586).

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

289245542982 is a wasteful number, since it uses less digits than its factorization.

289245542982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725.

The product of its digits is 33177600, while the sum is 60.

The spelling of 289245542982 in words is "two hundred eighty-nine billion, two hundred forty-five million, five hundred forty-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 601 887 1202 1774 1803 2661 3606 5322 6611 8221 9757 13222 16442 19514 19833 24663 29271 39666 49326 58542 90431 180862 271293 533087 542586 1066174 1599261 3198522 4940821 5863957 7292027 9881642 11727914 14584054 14822463 17591871 21876081 29644926 35183742 43752162 54349031 80212297 108698062 160424594 163047093 240636891 326094186 481273782 4382508227 8765016454 13147524681 26295049362 48207590497 96415180994 144622771491 289245542982