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2522050048 = 2975031399
BaseRepresentation
bin1001011001010011…
…0110111000000000
320111202200102021001
42112110312320000
520131121100143
61054132141344
7116333033410
oct22624667000
96452612231
102522050048
1110846a4591
125a4767854
1331267ca0b
1419cd50640
15eb63414d
hex96536e00

2522050048 has 80 divisors (see below), whose sum is σ = 5774630400. Its totient is φ = 1077958656.

The previous prime is 2522050039. The next prime is 2522050067. The reversal of 2522050048 is 8400502252.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2522049998 and 2522050025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1802053 + ... + 1803451.

It is an arithmetic number, because the mean of its divisors is an integer number (72182880).

Almost surely, 22522050048 is an apocalyptic number.

2522050048 is a gapful number since it is divisible by the number (28) 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 2522050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887315200).

2522050048 is an abundant number, since it is smaller than the sum of its proper divisors (3252580352).

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

2522050048 is an equidigital number, since it uses as much as digits as its factorization.

2522050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 2522050048 is about 50220.0164078030. The cubic root of 2522050048 is about 1361.1873368061.

The spelling of 2522050048 in words is "two billion, five hundred twenty-two million, fifty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 503 512 896 1006 1399 1792 2012 2798 3521 3584 4024 5596 7042 8048 9793 11192 14084 16096 19586 22384 28168 32192 39172 44768 56336 64384 78344 89536 112672 128768 156688 179072 225344 257536 313376 358144 450688 626752 703697 716288 901376 1253504 1407394 1802752 2507008 2814788 4925879 5014016 5629576 9851758 11259152 19703516 22518304 39407032 45036608 78814064 90073216 157628128 180146432 315256256 360292864 630512512 1261025024 2522050048