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424140192 = 25337193691
BaseRepresentation
bin11001010001111…
…101110110100000
31002120002112222000
4121101331312200
51332034441232
6110030444000
713340063220
oct3121756640
91076075860
10424140192
111a8463893
12ba063600
1369b44338
144048a080
152738127c
hex1947dda0

424140192 has 192 divisors, whose sum is σ = 1488614400. Its totient is φ = 114773760.

The previous prime is 424140187. The next prime is 424140221. The reversal of 424140192 is 291041424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113067 + ... + 116757.

It is an arithmetic number, because the mean of its divisors is an integer number (7753200).

Almost surely, 2424140192 is an apocalyptic number.

424140192 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 424140192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744307200).

424140192 is an abundant number, since it is smaller than the sum of its proper divisors (1064474208).

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

424140192 is a wasteful number, since it uses less digits than its factorization.

424140192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 424140192 is about 20594.6641633215. The cubic root of 424140192 is about 751.3399406531.

The spelling of 424140192 in words is "four hundred twenty-four million, one hundred forty thousand, one hundred ninety-two".