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42542500 = 22547111317
BaseRepresentation
bin1010001001001…
…0010110100100
32222001101100011
42202102112210
541342330000
64115500004
71024414420
oct242222644
988041304
1042542500
11220178a0
12122b7604
138a76ba0
145915b80
153b052ba
hex28925a4

42542500 has 240 divisors, whose sum is σ = 132257664. Its totient is φ = 11520000.

The previous prime is 42542497. The next prime is 42542503. The reversal of 42542500 is 524524.

It is an interprime number because it is at equal distance from previous prime (42542497) and next prime (42542503).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42542503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2502492 + ... + 2502508.

Almost surely, 242542500 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 42542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66128832).

42542500 is an abundant number, since it is smaller than the sum of its proper divisors (89715164).

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

42542500 is a wasteful number, since it uses less digits than its factorization.

42542500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 42542500 is about 6522.4611919121. The cubic root of 42542500 is about 349.0928891259.

It can be divided in two parts, 425 and 42500, that multiplied together give a square (18062500 = 42502).

The spelling of 42542500 in words is "forty-two million, five hundred forty-two thousand, five hundred".