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8442192 = 2431159271
BaseRepresentation
bin100000001101…
…000101010000
3120212220111210
4200031011100
54130122232
6500540120
7131520543
oct40150520
916786453
108442192
114846820
1229b1640
1319977a5
14119a85a
15b1b5cc
hex80d150

8442192 has 80 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 2505600.

The previous prime is 8442167. The next prime is 8442221. The reversal of 8442192 is 2912448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31017 + ... + 31287.

It is an arithmetic number, because the mean of its divisors is an integer number (303552).

Almost surely, 28442192 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 8442192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).

8442192 is an abundant number, since it is smaller than the sum of its proper divisors (15841968).

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

8442192 is a wasteful number, since it uses less digits than its factorization.

8442192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 8442192 is about 2905.5450435331. The cubic root of 8442192 is about 203.6190506888.

The spelling of 8442192 in words is "eight million, four hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 271 354 472 528 542 649 708 813 944 1084 1298 1416 1626 1947 2168 2596 2832 2981 3252 3894 4336 5192 5962 6504 7788 8943 10384 11924 13008 15576 15989 17886 23848 31152 31978 35772 47696 47967 63956 71544 95934 127912 143088 175879 191868 255824 351758 383736 527637 703516 767472 1055274 1407032 2110548 2814064 4221096 8442192