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392002248 = 233112235869
BaseRepresentation
bin10111010111010…
…111101011001000
31000022121202222210
4113113113223020
51300323032443
6102521545120
712466651461
oct2727275310
91008552883
10392002248
11191303100
12ab3451a0
13632a11c1
143a0c1d68
1524633c33
hex175d7ac8

392002248 has 96 divisors (see below), whose sum is σ = 1124222400. Its totient is φ = 113604480.

The previous prime is 392002217. The next prime is 392002291. The reversal of 392002248 is 842200293.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63858 + ... + 69726.

It is an arithmetic number, because the mean of its divisors is an integer number (11710650).

Almost surely, 2392002248 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 392002248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562111200).

392002248 is an abundant number, since it is smaller than the sum of its proper divisors (732220152).

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

392002248 is a wasteful number, since it uses less digits than its factorization.

392002248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 392002248 is about 19799.0466437149. The cubic root of 392002248 is about 731.8625410018.

The spelling of 392002248 in words is "three hundred ninety-two million, two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 552 726 759 968 1012 1452 1518 2024 2783 2904 3036 5566 5869 6072 8349 11132 11738 16698 17607 22264 23476 33396 35214 46952 64559 66792 70428 129118 134987 140856 193677 258236 269974 387354 404961 516472 539948 710149 774708 809922 1079896 1420298 1484857 1549416 1619844 2130447 2840596 2969714 3239688 4260894 4454571 5681192 5939428 8521788 8909142 11878856 16333427 17043576 17818284 32666854 35636568 49000281 65333708 98000562 130667416 196001124 392002248