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42196392 = 23327292887
BaseRepresentation
bin1010000011110…
…1110110101000
32221101210120100
42200331312220
541300241032
64104225400
71021443360
oct240756650
987353510
1042196392
1121900857
121216b260
1389854a4
1458659a0
153a8797c
hex283dda8

42196392 has 96 divisors (see below), whose sum is σ = 135158400. Its totient is φ = 11636352.

The previous prime is 42196381. The next prime is 42196393. The reversal of 42196392 is 29369124.

42196392 is a `hidden beast` number, since 4 + 2 + 19 + 639 + 2 = 666.

42196392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42196393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13173 + ... + 16059.

It is an arithmetic number, because the mean of its divisors is an integer number (1407900).

Almost surely, 242196392 is an apocalyptic number.

42196392 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 42196392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67579200).

42196392 is an abundant number, since it is smaller than the sum of its proper divisors (92962008).

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

42196392 is a wasteful number, since it uses less digits than its factorization.

42196392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2928 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 42196392 is about 6495.8749987973. The cubic root of 42196392 is about 348.1436188815.

The spelling of 42196392 in words is "forty-two million, one hundred ninety-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 2887 3654 4872 5774 7308 8661 11548 14616 17322 20209 23096 25983 34644 40418 51966 60627 69288 80836 83723 103932 121254 161672 167446 181881 207864 242508 251169 334892 363762 485016 502338 586061 669784 727524 753507 1004676 1172122 1455048 1507014 1758183 2009352 2344244 3014028 3516366 4688488 5274549 6028056 7032732 10549098 14065464 21098196 42196392