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2087525840 = 245531134357
BaseRepresentation
bin111110001101101…
…0001110111010000
312101111001022002212
41330123101313100
513233401311330
6543050531252
7102505451111
oct17433216720
95344038085
102087525840
11981399074
124a3136b28
132736410ba
1415b360208
15c3401295
hex7c6d1dd0

2087525840 has 80 divisors (see below), whose sum is σ = 4989979728. Its totient is φ = 811819008.

The previous prime is 2087525837. The next prime is 2087525861. The reversal of 2087525840 is 485257802.

It can be written as a sum of positive squares in 8 ways, for example, as 18731584 + 2068794256 = 4328^2 + 45484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 476942 + ... + 481298.

Almost surely, 22087525840 is an apocalyptic number.

2087525840 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 2087525840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494989864).

2087525840 is an abundant number, since it is smaller than the sum of its proper divisors (2902453888).

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

2087525840 is a wasteful number, since it uses less digits than its factorization.

2087525840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 2087525840 is about 45689.4499857462. The cubic root of 2087525840 is about 1278.0385485730.

The spelling of 2087525840 in words is "two billion, eighty-seven million, five hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 113 212 226 265 424 452 530 565 848 904 1060 1130 1808 2120 2260 4240 4357 4520 5989 8714 9040 11978 17428 21785 23956 29945 34856 43570 47912 59890 69712 87140 95824 119780 174280 230921 239560 348560 461842 479120 492341 923684 984682 1154605 1847368 1969364 2309210 2461705 3694736 3938728 4618420 4923410 7877456 9236840 9846820 18473680 19693640 26094073 39387280 52188146 104376292 130470365 208752584 260940730 417505168 521881460 1043762920 2087525840