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2093072832 = 263319371723
BaseRepresentation
bin111110011000001…
…1100000111000000
312101212111010011000
41330300130013000
513241311312312
6543405452000
7102603553104
oct17460340700
95355433130
102093072832
11984537664
124a4b71000
13274833b46
1415bda5904
15c3b49adc
hex7cc1c1c0

2093072832 has 224 divisors, whose sum is σ = 6656019200. Its totient is φ = 642733056.

The previous prime is 2093072803. The next prime is 2093072857. The reversal of 2093072832 is 2382703902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

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 31 ways as a sum of consecutive naturals, for example, 1213923 + ... + 1215645.

Almost surely, 22093072832 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 2093072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328009600).

2093072832 is an abundant number, since it is smaller than the sum of its proper divisors (4562946368).

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

2093072832 is a wasteful number, since it uses less digits than its factorization.

2093072832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2093072832 is about 45750.1129178934. The cubic root of 2093072832 is about 1279.1695524787.

The spelling of 2093072832 in words is "two billion, ninety-three million, seventy-two thousand, eight hundred thirty-two".