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42600 = 2335271
BaseRepresentation
bin1010011001101000
32011102210
422121220
52330400
6525120
7235125
oct123150
964383
1042600
112a008
12207a0
131650c
141174c
15c950
hexa668

42600 has 48 divisors (see below), whose sum is σ = 133920. Its totient is φ = 11200.

The previous prime is 42589. The next prime is 42611. The reversal of 42600 is 624.

It can be divided in two parts, 42 and 600, that multiplied together give a triangular number (25200 = T224).

It is an interprime number because it is at equal distance from previous prime (42589) and next prime (42611).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 565 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

242600 is an apocalyptic number.

42600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

42600 is an abundant number, since it is smaller than the sum of its proper divisors (91320).

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

42600 is a wasteful number, since it uses less digits than its factorization.

42600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 42600 is about 206.3976744055. The cubic root of 42600 is about 34.9250095092.

The spelling of 42600 in words is "forty-two thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 142 150 200 213 284 300 355 426 568 600 710 852 1065 1420 1704 1775 2130 2840 3550 4260 5325 7100 8520 10650 14200 21300 42600