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2093097888 = 253372341367
BaseRepresentation
bin111110011000010…
…0010001110100000
312101212112101112000
41330300202032200
513241313113023
6543410204000
7102604016130
oct17460421640
95355471460
102093097888
11984554472
124a4b83600
1327484237b
1415bdb0ac0
15c3b52243
hex7cc223a0

2093097888 has 384 divisors, whose sum is σ = 7478231040. Its totient is φ = 556554240.

The previous prime is 2093097887. The next prime is 2093097899. The reversal of 2093097888 is 8887903902.

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

It is not an unprimeable number, because it can be changed into a prime (2093097883) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5703081 + ... + 5703447.

It is an arithmetic number, because the mean of its divisors is an integer number (19474560).

Almost surely, 22093097888 is an apocalyptic number.

2093097888 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 2093097888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739115520).

2093097888 is an abundant number, since it is smaller than the sum of its proper divisors (5385133152).

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

2093097888 is a wasteful number, since it uses less digits than its factorization.

2093097888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 2093097888 is about 45750.3867524636. The cubic root of 2093097888 is about 1279.1746567356.

The spelling of 2093097888 in words is "two billion, ninety-three million, ninety-seven thousand, eight hundred eighty-eight".