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2059352592 = 2431141251379
BaseRepresentation
bin111101010111111…
…0011101000010000
312022112000221200020
41322233303220100
513204143240332
6540203023440
7102014131263
oct17257635020
95275027606
102059352592
119674a60a0
1249580ab80
1326a85873b
14157708cda
15c0bd882c
hex7abf3a10

2059352592 has 160 divisors (see below), whose sum is σ = 5984616960. Its totient is φ = 604800000.

The previous prime is 2059352543. The next prime is 2059352593. The reversal of 2059352592 is 2952539502.

It is not an unprimeable number, because it can be changed into a prime (2059352593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5433459 + ... + 5433837.

It is an arithmetic number, because the mean of its divisors is an integer number (37403856).

Almost surely, 22059352592 is an apocalyptic number.

2059352592 is a gapful number since it is divisible by the number (22) 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 2059352592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992308480).

2059352592 is an abundant number, since it is smaller than the sum of its proper divisors (3925264368).

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

2059352592 is a wasteful number, since it uses less digits than its factorization.

2059352592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 2059352592 is about 45380.0902599367. The cubic root of 2059352592 is about 1272.2630186692.

The spelling of 2059352592 in words is "two billion, fifty-nine million, three hundred fifty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 251 264 328 379 451 492 502 528 656 753 758 902 984 1004 1137 1353 1506 1516 1804 1968 2008 2274 2706 2761 3012 3032 3608 4016 4169 4548 5412 5522 6024 6064 7216 8283 8338 9096 10291 10824 11044 12048 12507 15539 16566 16676 18192 20582 21648 22088 25014 30873 31078 33132 33352 41164 44176 46617 50028 61746 62156 66264 66704 82328 93234 95129 100056 113201 123492 124312 132528 164656 170929 186468 190258 200112 226402 246984 248624 285387 339603 341858 372936 380516 452804 493968 512787 570774 679206 683716 745872 761032 905608 1025574 1046419 1141548 1358412 1367432 1522064 1811216 2051148 2092838 2283096 2716824 2734864 3139257 3900289 4102296 4185676 4566192 5433648 6278514 7800578 8204592 8371352 11700867 12557028 15601156 16742704 23401734 25114056 31202312 42903179 46803468 50228112 62404624 85806358 93606936 128709537 171612716 187213872 257419074 343225432 514838148 686450864 1029676296 2059352592