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2057584326 = 23748990103
BaseRepresentation
bin111101010100100…
…0011111011000110
312022101201010001220
41322221003323012
513203220144301
6540101101210
7101663115060
oct17251037306
95271633056
102057584326
119664a8616
124950b7806
1326a389925
141573a8730
15c0989936
hex7aa43ec6

2057584326 has 16 divisors (see below), whose sum is σ = 4703049984. Its totient is φ = 587881224.

The previous prime is 2057584279. The next prime is 2057584337. The reversal of 2057584326 is 6234857502.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 48990103 = 2057584326 / (2 + 0 + 5 + 7 + 5 + 8 + 4 + 3 + 2 + 6).

It is a Curzon number.

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 7 ways as a sum of consecutive naturals, for example, 24495010 + ... + 24495093.

It is an arithmetic number, because the mean of its divisors is an integer number (293940624).

Almost surely, 22057584326 is an apocalyptic number.

2057584326 is an abundant number, since it is smaller than the sum of its proper divisors (2645465658).

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

2057584326 is a wasteful number, since it uses less digits than its factorization.

2057584326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48990115.

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2057584326 is about 45360.6032367296. The cubic root of 2057584326 is about 1271.8987709185.

The spelling of 2057584326 in words is "two billion, fifty-seven million, five hundred eighty-four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 48990103 97980206 146970309 293940618 342930721 685861442 1028792163 2057584326