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442100 = 22524421
BaseRepresentation
bin1101011111011110100
3211110110002
41223323310
5103121400
613250432
73520631
oct1537364
9743402
10442100
1128217a
12193a18
131262c9
14b7188
158aed5
hex6bef4

442100 has 18 divisors (see below), whose sum is σ = 959574. Its totient is φ = 176800.

The previous prime is 442097. The next prime is 442109. The reversal of 442100 is 1244.

It can be written as a sum of positive squares in 3 ways, for example, as 77284 + 364816 = 278^2 + 604^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442109) 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 5 ways as a sum of consecutive naturals, for example, 2111 + ... + 2310.

2442100 is an apocalyptic number.

It is an amenable number.

442100 is an abundant number, since it is smaller than the sum of its proper divisors (517474).

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

442100 is a wasteful number, since it uses less digits than its factorization.

442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 442100 is about 664.9060083952. The cubic root of 442100 is about 76.1798602521.

Adding to 442100 its reverse (1244), we get a palindrome (443344).

The spelling of 442100 in words is "four hundred forty-two thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 25 50 100 4421 8842 17684 22105 44210 88420 110525 221050 442100