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4725780192 = 253372353641
BaseRepresentation
bin1000110011010110…
…11010111011100000
3110012100101111201000
410121223122323200
534134244431232
62100533512000
7225052316550
oct43153327340
913170344630
104725780192
112005641671
12aba7a2600
135a40b9153
1432b8bd160
151c9d3b27c
hex119adaee0

4725780192 has 384 divisors, whose sum is σ = 16773765120. Its totient is φ = 1265172480.

The previous prime is 4725780179. The next prime is 4725780197. The reversal of 4725780192 is 2910875274.

It is a happy number.

4725780192 is a `hidden beast` number, since 4 + 72 + 578 + 0 + 1 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4725780197) 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 63 ways as a sum of consecutive naturals, for example, 7372192 + ... + 7372832.

It is an arithmetic number, because the mean of its divisors is an integer number (43681680).

Almost surely, 24725780192 is an apocalyptic number.

4725780192 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 4725780192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386882560).

4725780192 is an abundant number, since it is smaller than the sum of its proper divisors (12047984928).

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

4725780192 is a wasteful number, since it uses less digits than its factorization.

4725780192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4725780192 is about 68744.3102518310. The cubic root of 4725780192 is about 1678.1257669982.

It can be divided in two parts, 47257 and 80192, that added together give a square (127449 = 3572).

The spelling of 4725780192 in words is "four billion, seven hundred twenty-five million, seven hundred eighty thousand, one hundred ninety-two".