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4092564192 = 253103341269
BaseRepresentation
bin1111001111101111…
…1001001011100000
3101120012212210122120
43303323321023200
531340144023232
61514033504240
7203263136013
oct36373711340
911505783576
104092564192
111810167062
12962712080
13502b60822
142ab76b37a
1518e45b92c
hexf3ef92e0

4092564192 has 48 divisors (see below), whose sum is σ = 10753641360. Its totient is φ = 1362834432.

The previous prime is 4092564143. The next prime is 4092564193. The reversal of 4092564192 is 2914652904.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40925641922 = 33498163331281225728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4092564193) 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 7 ways as a sum of consecutive naturals, for example, 78534 + ... + 119802.

It is an arithmetic number, because the mean of its divisors is an integer number (224034195).

Almost surely, 24092564192 is an apocalyptic number.

It is an amenable number.

4092564192 is an abundant number, since it is smaller than the sum of its proper divisors (6661077168).

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

4092564192 is a wasteful number, since it uses less digits than its factorization.

4092564192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42315 (or 42307 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4092564192 is about 63973.1521186818. The cubic root of 4092564192 is about 1599.5525040204.

The spelling of 4092564192 in words is "four billion, ninety-two million, five hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1033 2066 3099 4132 6198 8264 12396 16528 24792 33056 41269 49584 82538 99168 123807 165076 247614 330152 495228 660304 990456 1320608 1980912 3961824 42630877 85261754 127892631 170523508 255785262 341047016 511570524 682094032 1023141048 1364188064 2046282096 4092564192