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8442012 = 2232373419
BaseRepresentation
bin100000001101…
…000010011100
3120212220021010
4200031002130
54130121022
6500535220
7131520165
oct40150234
916786233
108442012
114846677
1229b1510
131997697
14119a76c
15b1b50c
hex80d09c

8442012 has 48 divisors (see below), whose sum is σ = 20885760. Its totient is φ = 2648448.

The previous prime is 8442011. The next prime is 8442029. The reversal of 8442012 is 2102448.

It is a self number, because there is not a number n which added to its sum of digits gives 8442012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8442011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19939 + ... + 20357.

It is an arithmetic number, because the mean of its divisors is an integer number (435120).

Almost surely, 28442012 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 8442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10442880).

8442012 is an abundant number, since it is smaller than the sum of its proper divisors (12443748).

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

8442012 is a wasteful number, since it uses less digits than its factorization.

8442012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 8442012 is about 2905.5140681126. The cubic root of 8442012 is about 203.6176035255.

The spelling of 8442012 in words is "eight million, four hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 276 292 419 438 838 876 1257 1676 1679 2514 3358 5028 5037 6716 9637 10074 19274 20148 28911 30587 38548 57822 61174 91761 115644 122348 183522 367044 703501 1407002 2110503 2814004 4221006 8442012