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2057844096 = 273371121937
BaseRepresentation
bin111101010101000…
…0011010110000000
312022102012022102000
41322222003112000
513203302002341
6540110424000
7101665246320
oct17252032600
95272168360
102057844096
11966665800
12495202000
1326a44ac39
14157435280
15c09db8b6
hex7aa83580

2057844096 has 768 divisors, whose sum is σ = 8248128000. Its totient is φ = 492687360.

The previous prime is 2057844083. The next prime is 2057844121. The reversal of 2057844096 is 6904487502.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 55617390 + ... + 55617426.

It is an arithmetic number, because the mean of its divisors is an integer number (10739750).

Almost surely, 22057844096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124064000).

2057844096 is an abundant number, since it is smaller than the sum of its proper divisors (6190283904).

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

2057844096 is a wasteful number, since it uses less digits than its factorization.

2057844096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2057844096 is about 45363.4665342057. The cubic root of 2057844096 is about 1271.9522944017.

The spelling of 2057844096 in words is "two billion, fifty-seven million, eight hundred forty-four thousand, ninety-six".