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2089576128 = 26323835701
BaseRepresentation
bin111110010001100…
…0110011011000000
312101121220110120110
41330203012123000
513234412414003
6543202511320
7102532050453
oct17443063300
95347813513
102089576128
11982569522
124a3965540
13273bab3a3
1415b73549a
15c36a8a03
hex7c8c66c0

2089576128 has 112 divisors (see below), whose sum is σ = 5839577856. Its totient is φ = 658099200.

The previous prime is 2089576081. The next prime is 2089576169. The reversal of 2089576128 is 8216759802.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363678 + ... + 369378.

It is an arithmetic number, because the mean of its divisors is an integer number (52139088).

Almost surely, 22089576128 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 2089576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919788928).

2089576128 is an abundant number, since it is smaller than the sum of its proper divisors (3750001728).

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

2089576128 is a wasteful number, since it uses less digits than its factorization.

2089576128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 2089576128 is about 45711.8816939316. The cubic root of 2089576128 is about 1278.4568251837.

The spelling of 2089576128 in words is "two billion, eighty-nine million, five hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 83 92 96 138 166 184 192 249 276 332 368 498 552 664 736 996 1104 1328 1472 1909 1992 2208 2656 3818 3984 4416 5312 5701 5727 7636 7968 11402 11454 15272 15936 17103 22804 22908 30544 34206 45608 45816 61088 68412 91216 91632 122176 131123 136824 182432 183264 262246 273648 364864 366528 393369 473183 524492 547296 786738 946366 1048984 1094592 1419549 1573476 1892732 2097968 2839098 3146952 3785464 4195936 5678196 6293904 7570928 8391872 10883209 11356392 12587808 15141856 21766418 22712784 25175616 30283712 32649627 43532836 45425568 65299254 87065672 90851136 130598508 174131344 261197016 348262688 522394032 696525376 1044788064 2089576128