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4294272192 = 26373197331
BaseRepresentation
bin1111111111110101…
…0110010011000000
3102002021102122000020
43333331112103000
532243313202232
61550041053440
7211262466000
oct37775262300
912067378006
104294272192
111904006291
129ba187280
13535895382
142ca476000
151a2001e2c
hexfff564c0

4294272192 has 224 divisors, whose sum is σ = 13357555200. Its totient is φ = 1217018880.

The previous prime is 4294272163. The next prime is 4294272193. The reversal of 4294272192 is 2912724924.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4294272193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12973467 + ... + 12973797.

Almost surely, 24294272192 is an apocalyptic number.

4294272192 is a gapful number since it is divisible by the number (42) 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 4294272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678777600).

4294272192 is an abundant number, since it is smaller than the sum of its proper divisors (9063283008).

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

4294272192 is a wasteful number, since it uses less digits than its factorization.

4294272192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 540 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 4294272192 is about 65530.6965627560. The cubic root of 4294272192 is about 1625.4109814299.

The spelling of 4294272192 in words is "four billion, two hundred ninety-four million, two hundred seventy-two thousand, one hundred ninety-two".