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42031500 = 2235374003
BaseRepresentation
bin1010000001010…
…1100110001100
32221002102101020
42200111212030
541230002000
64100514140
71020155550
oct240254614
987072336
1042031500
11217a8985
12120ab950
138928414
145821860
153a53ba0
hex281598c

42031500 has 96 divisors (see below), whose sum is σ = 139915776. Its totient is φ = 9604800.

The previous prime is 42031471. The next prime is 42031523. The reversal of 42031500 is 513024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42031500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8499 + ... + 12501.

It is an arithmetic number, because the mean of its divisors is an integer number (1457456).

Almost surely, 242031500 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 42031500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69957888).

42031500 is an abundant number, since it is smaller than the sum of its proper divisors (97884276).

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

42031500 is a wasteful number, since it uses less digits than its factorization.

42031500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 42031500 is about 6483.1705206635. The cubic root of 42031500 is about 347.6895434386.

Adding to 42031500 its reverse (513024), we get a palindrome (42544524).

The spelling of 42031500 in words is "forty-two million, thirty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2625 3500 4003 5250 8006 10500 12009 16012 20015 24018 28021 40030 48036 56042 60045 80060 84063 100075 112084 120090 140105 168126 200150 240180 280210 300225 336252 400300 420315 500375 560420 600450 700525 840630 1000750 1200900 1401050 1501125 1681260 2001500 2101575 2802100 3002250 3502625 4203150 6004500 7005250 8406300 10507875 14010500 21015750 42031500