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2089149408 = 25341959719
BaseRepresentation
bin111110010000101…
…1110001111100000
312101121002210020000
41330201132033200
513234310240113
6543145420000
7102525322413
oct17441361740
95347083200
102089149408
119822a7965
124a379a600
13273a8c0a8
1415b663b7a
15c3622373
hex7c85e3e0

2089149408 has 240 divisors, whose sum is σ = 6586272000. Its totient is φ = 647647488.

The previous prime is 2089149401. The next prime is 2089149437. The reversal of 2089149408 is 8049419802.

2089149408 is a `hidden beast` number, since 20 + 89 + 149 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089149401) 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, 2905273 + ... + 2905991.

It is an arithmetic number, because the mean of its divisors is an integer number (27442800).

Almost surely, 22089149408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2089149408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293136000).

2089149408 is an abundant number, since it is smaller than the sum of its proper divisors (4497122592).

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

2089149408 is a wasteful number, since it uses less digits than its factorization.

2089149408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2089149408 is about 45707.2139601617. The cubic root of 2089149408 is about 1278.3697931410.

The spelling of 2089149408 in words is "two billion, eighty-nine million, one hundred forty-nine thousand, four hundred eight".