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2529875920 = 2451113217011
BaseRepresentation
bin1001011011001010…
…1101011111010000
320112022102000100011
42112302231133100
520140122012140
61055012004304
7116456406355
oct22662553720
96468360304
102529875920
11108905a250
125a7300694
1331418cb00
1419ddca62c
15ec17ccea
hex96cad7d0

2529875920 has 120 divisors (see below), whose sum is σ = 6948653472. Its totient is φ = 849139200.

The previous prime is 2529875911. The next prime is 2529875921. The reversal of 2529875920 is 295789252.

It is a super-3 number, since 3×25298759203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529875921) 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 23 ways as a sum of consecutive naturals, for example, 140215 + ... + 157225.

Almost surely, 22529875920 is an apocalyptic number.

2529875920 is a gapful number since it is divisible by the number (20) 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 2529875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474326736).

2529875920 is an abundant number, since it is smaller than the sum of its proper divisors (4418777552).

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

2529875920 is a wasteful number, since it uses less digits than its factorization.

2529875920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17061 (or 17042 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The square root of 2529875920 is about 50297.8719231738. The cubic root of 2529875920 is about 1362.5937956359.

The spelling of 2529875920 in words is "two billion, five hundred twenty-nine million, eight hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 169 176 208 220 260 286 338 440 520 572 676 715 845 880 1040 1144 1352 1430 1690 1859 2288 2704 2860 3380 3718 5720 6760 7436 9295 11440 13520 14872 17011 18590 29744 34022 37180 68044 74360 85055 136088 148720 170110 187121 221143 272176 340220 374242 442286 680440 748484 884572 935605 1105715 1360880 1496968 1769144 1871210 2211430 2432573 2874859 2993936 3538288 3742420 4422860 4865146 5749718 7484840 8845720 9730292 11499436 12162865 14374295 14969680 17691440 19460584 22998872 24325730 28748590 31623449 38921168 45997744 48651460 57497180 63246898 97302920 114994360 126493796 158117245 194605840 229988720 252987592 316234490 505975184 632468980 1264937960 2529875920