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42195 = 352997
BaseRepresentation
bin1010010011010011
32010212210
422103103
52322240
6523203
7234006
oct122323
963783
1042195
112977a
1220503
131628a
141153d
15c780
hexa4d3

42195 has 16 divisors (see below), whose sum is σ = 70560. Its totient is φ = 21504.

The previous prime is 42193. The next prime is 42197. The reversal of 42195 is 59124.

It can be divided in two parts, 4219 and 5, that added together give a palindrome (4224).

42195 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

42195 is a nontrivial binomial coefficient, being equal to C(291, 2).

It is an interprime number because it is at equal distance from previous prime (42193) and next prime (42197).

It is not a de Polignac number, because 42195 - 21 = 42193 is a prime.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

242195 is an apocalyptic number.

42195 is the 290-th triangular number.

42195 is a deficient number, since it is larger than the sum of its proper divisors (28365).

42195 is a wasteful number, since it uses less digits than its factorization.

42195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134.

The product of its digits is 360, while the sum is 21.

The square root of 42195 is about 205.4142156717. The cubic root of 42195 is about 34.8139790582.

The spelling of 42195 in words is "forty-two thousand, one hundred ninety-five".

Divisors: 1 3 5 15 29 87 97 145 291 435 485 1455 2813 8439 14065 42195