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42364 = 2271789
BaseRepresentation
bin1010010101111100
32011010001
422111330
52323424
6524044
7234340
oct122574
964101
1042364
1129913
1220624
131638a
1411620
15c844
hexa57c

42364 has 24 divisors (see below), whose sum is σ = 90720. Its totient is φ = 16896.

The previous prime is 42359. The next prime is 42373. The reversal of 42364 is 46324.

Adding to 42364 its reverse (46324), we get a palindrome (88688).

It can be divided in two parts, 423 and 64, that multiplied together give a palindrome (27072).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

242364 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 42364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

42364 is an abundant number, since it is smaller than the sum of its proper divisors (48356).

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

42364 is a wasteful number, since it uses less digits than its factorization.

42364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its digits is 576, while the sum is 19.

The square root of 42364 is about 205.8251685290. The cubic root of 42364 is about 34.8603962871.

The spelling of 42364 in words is "forty-two thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 89 119 178 238 356 476 623 1246 1513 2492 3026 6052 10591 21182 42364