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42542700 = 223521091301
BaseRepresentation
bin1010001001001…
…0011001101100
32222001101121120
42202102121230
541342331300
64115500540
71024415124
oct242223154
988041546
1042542700
1122017a62
12122b7750
138a76cc5
145915c84
153b053a0
hex289266c

42542700 has 72 divisors (see below), whose sum is σ = 124314960. Its totient is φ = 11232000.

The previous prime is 42542699. The next prime is 42542701. The reversal of 42542700 is 724524.

It is an interprime number because it is at equal distance from previous prime (42542699) and next prime (42542701).

It is not an unprimeable number, because it can be changed into a prime (42542701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32050 + ... + 33350.

Almost surely, 242542700 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 42542700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62157480).

42542700 is an abundant number, since it is smaller than the sum of its proper divisors (81772260).

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

42542700 is a wasteful number, since it uses less digits than its factorization.

42542700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 42542700 is about 6522.4765235300. The cubic root of 42542700 is about 349.0934361747.

The spelling of 42542700 in words is "forty-two million, five hundred forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 654 1090 1301 1308 1635 2180 2602 2725 3270 3903 5204 5450 6505 6540 7806 8175 10900 13010 15612 16350 19515 26020 32525 32700 39030 65050 78060 97575 130100 141809 195150 283618 390300 425427 567236 709045 850854 1418090 1701708 2127135 2836180 3545225 4254270 7090450 8508540 10635675 14180900 21271350 42542700