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42196 = 22711137
BaseRepresentation
bin1010010011010100
32010212211
422103110
52322241
6523204
7234010
oct122324
963784
1042196
1129780
1220504
131628b
1411540
15c781
hexa4d4

42196 has 24 divisors (see below), whose sum is σ = 92736. Its totient is φ = 16320.

The previous prime is 42193. The next prime is 42197. The reversal of 42196 is 69124.

It can be divided in two parts, 4219 and 6, that added together give a square (4225 = 652).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a pancake number, because a pancake can be divided into 42196 parts by 290 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42193) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 240 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (3864).

242196 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 42196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368).

42196 is an abundant number, since it is smaller than the sum of its proper divisors (50540).

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

42196 is a wasteful number, since it uses less digits than its factorization.

42196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 42196 is about 205.4166497634. The cubic root of 42196 is about 34.8142540806.

The spelling of 42196 in words is "forty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 137 154 274 308 548 959 1507 1918 3014 3836 6028 10549 21098 42196