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42004 = 2210501
BaseRepresentation
bin1010010000010100
32010121201
422100110
52321004
6522244
7233314
oct122024
963551
1042004
1129616
1220384
1316171
1411444
15c6a4
hexa414

42004 has 6 divisors (see below), whose sum is σ = 73514. Its totient is φ = 21000.

The previous prime is 41999. The next prime is 42013. The reversal of 42004 is 40024.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 9604 = 180^2 + 98^2 .

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5247 + ... + 5254.

242004 is an apocalyptic number.

It is an amenable number.

42004 is a deficient number, since it is larger than the sum of its proper divisors (31510).

42004 is a wasteful number, since it uses less digits than its factorization.

42004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505 (or 10503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 42004 is about 204.9487740876. The cubic root of 42004 is about 34.7613699144.

Adding to 42004 its reverse (40024), we get a palindrome (82028).

The spelling of 42004 in words is "forty-two thousand, four", and thus it is an eban number and an iban number.

Divisors: 1 2 4 10501 21002 42004