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2089511424 = 293371113151
BaseRepresentation
bin111110010001011…
…0110101000000000
312101121210011211000
41330202312220000
513234403331144
6543201252000
7102531361020
oct17442665000
95347704730
102089511424
11982524950
124a3934000
13273b87ac0
1415b719a80
15c3694769
hex7c8b6a00

2089511424 has 640 divisors, whose sum is σ = 8359464960. Its totient is φ = 497664000.

The previous prime is 2089511423. The next prime is 2089511443. The reversal of 2089511424 is 4241159802.

2089511424 is a `hidden beast` number, since 20 + 89 + 511 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089511423) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13837749 + ... + 13837899.

It is an arithmetic number, because the mean of its divisors is an integer number (13061664).

Almost surely, 22089511424 is an apocalyptic number.

2089511424 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 2089511424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179732480).

2089511424 is an abundant number, since it is smaller than the sum of its proper divisors (6269953536).

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

2089511424 is a wasteful number, since it uses less digits than its factorization.

2089511424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2089511424 is about 45711.1739512343. The cubic root of 2089511424 is about 1278.4436291862.

The spelling of 2089511424 in words is "two billion, eighty-nine million, five hundred eleven thousand, four hundred twenty-four".