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2057854896 = 2434172331131
BaseRepresentation
bin111101010101000…
…0101111110110000
312022102012212020000
41322222011332300
513203302324041
6540110550000
7101665322646
oct17252057660
95272185200
102057854896
11966672929
12495208300
1326a452b26
14157439196
15c09debb6
hex7aa85fb0

2057854896 has 400 divisors, whose sum is σ = 6844704768. Its totient is φ = 593049600.

The previous prime is 2057854891. The next prime is 2057854957. The reversal of 2057854896 is 6984587502.

2057854896 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 8 + 548 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057854891) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 15708751 + ... + 15708881.

Almost surely, 22057854896 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 2057854896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422352384).

2057854896 is an abundant number, since it is smaller than the sum of its proper divisors (4786849872).

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

2057854896 is a wasteful number, since it uses less digits than its factorization.

2057854896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 2057854896 is about 45363.5855725713. The cubic root of 2057854896 is about 1271.9545195558.

It can be divided in two parts, 205785 and 4896, that added together give a square (210681 = 4592).

The spelling of 2057854896 in words is "two billion, fifty-seven million, eight hundred fifty-four thousand, eight hundred ninety-six".