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2590057848 = 2337175371241
BaseRepresentation
bin1001101001100001…
…0010010101111000
320200111122120102110
42122120102111320
520301023322343
61105001532320
7121120062030
oct23230222570
96614576373
102590057848
11110a024884
126034a40a0
133237a1811
141a7db48c0
151025b9833
hex9a612578

2590057848 has 256 divisors, whose sum is σ = 8129341440. Its totient is φ = 670924800.

The previous prime is 2590057823. The next prime is 2590057849. The reversal of 2590057848 is 8487500952.

It is a super-2 number, since 2×25900578482 = 13416799311972782208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2590057797 and 2590057806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590057849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10747008 + ... + 10747248.

It is an arithmetic number, because the mean of its divisors is an integer number (31755240).

Almost surely, 22590057848 is an apocalyptic number.

2590057848 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 2590057848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064670720).

2590057848 is an abundant number, since it is smaller than the sum of its proper divisors (5539283592).

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

2590057848 is a wasteful number, since it uses less digits than its factorization.

2590057848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 2590057848 is about 50892.6109371488. The cubic root of 2590057848 is about 1373.3139175207.

The spelling of 2590057848 in words is "two billion, five hundred ninety million, fifty-seven thousand, eight hundred forty-eight".