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42528 = 253443
BaseRepresentation
bin1010011000100000
32011100010
422120200
52330103
6524520
7234663
oct123040
964303
1042528
1129a52
1220740
1316485
14116da
15c903
hexa620

42528 has 24 divisors (see below), whose sum is σ = 111888. Its totient is φ = 14144.

The previous prime is 42509. The next prime is 42533. The reversal of 42528 is 82524.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 16.

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 in 3 ways as a sum of consecutive naturals, for example, 126 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (4662).

242528 is an apocalyptic number.

42528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42528 is an abundant number, since it is smaller than the sum of its proper divisors (69360).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55944).

42528 is a wasteful number, since it uses less digits than its factorization.

42528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 42528 is about 206.2231800744. The cubic root of 42528 is about 34.9053223520.

The spelling of 42528 in words is "forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 443 886 1329 1772 2658 3544 5316 7088 10632 14176 21264 42528