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2089249344 = 2632713231733
BaseRepresentation
bin111110010000111…
…0110101001000000
312101121021212022100
41330201312221000
513234321434334
6543151510400
7102526216650
oct17441665100
95347255270
102089249344
11982365a56
124a3828400
13273ac5720
1415b68c360
15c3641c99
hex7c876a40

2089249344 has 336 divisors, whose sum is σ = 7695297792. Its totient is φ = 526749696.

The previous prime is 2089249319. The next prime is 2089249373. The reversal of 2089249344 is 4439429802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 2089249344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204702 + ... + 1206434.

It is an arithmetic number, because the mean of its divisors is an integer number (22902672).

Almost surely, 22089249344 is an apocalyptic number.

2089249344 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 2089249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847648896).

2089249344 is an abundant number, since it is smaller than the sum of its proper divisors (5606048448).

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

2089249344 is a wasteful number, since it uses less digits than its factorization.

2089249344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2089249344 is about 45708.3071662034. The cubic root of 2089249344 is about 1278.3901767361.

The spelling of 2089249344 in words is "two billion, eighty-nine million, two hundred forty-nine thousand, three hundred forty-four".