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2608324032 = 26329479967
BaseRepresentation
bin1001101101110111…
…1101110111000000
320201210000120220210
42123131331313000
520320212332112
61110453234120
7121431250146
oct23335756700
96653016823
102608324032
1111193704a6
12609632940
133274c8a02
141aa5ab596
15103ec6b3c
hex9b77ddc0

2608324032 has 112 divisors (see below), whose sum is σ = 7291791360. Its totient is φ = 821517312.

The previous prime is 2608324031. The next prime is 2608324049. The reversal of 2608324032 is 2304238062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2608324031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256713 + ... + 266679.

It is an arithmetic number, because the mean of its divisors is an integer number (65105280).

Almost surely, 22608324032 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 2608324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645895680).

2608324032 is an abundant number, since it is smaller than the sum of its proper divisors (4683467328).

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

2608324032 is a wasteful number, since it uses less digits than its factorization.

2608324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10058 (or 10048 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2608324032 is about 51071.7537588049. The cubic root of 2608324032 is about 1376.5347547438.

The spelling of 2608324032 in words is "two billion, six hundred eight million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 64 87 94 96 116 141 174 188 192 232 282 348 376 464 564 696 752 928 1128 1363 1392 1504 1856 2256 2726 2784 3008 4089 4512 5452 5568 8178 9024 9967 10904 16356 19934 21808 29901 32712 39868 43616 59802 65424 79736 87232 119604 130848 159472 239208 261696 289043 318944 468449 478416 578086 637888 867129 936898 956832 1156172 1405347 1734258 1873796 1913664 2312344 2810694 3468516 3747592 4624688 5621388 6937032 7495184 9249376 11242776 13585021 13874064 14990368 18498752 22485552 27170042 27748128 29980736 40755063 44971104 54340084 55496256 81510126 89942208 108680168 163020252 217360336 326040504 434720672 652081008 869441344 1304162016 2608324032