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42500766 = 2371128363
BaseRepresentation
bin1010001000100…
…0001010011110
32221222021002110
42202020022132
541340011031
64114534450
71024151640
oct242101236
987867073
1042500766
1121a99500
1212297426
138a60ba9
145904890
153ae7c46
hex288829e

42500766 has 48 divisors (see below), whose sum is σ = 106791552. Its totient is φ = 11037840.

The previous prime is 42500761. The next prime is 42500767. The reversal of 42500766 is 66700524.

It is a super-2 number, since 2×425007662 = 3612630221173512, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42500761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901 + ... + 9263.

It is an arithmetic number, because the mean of its divisors is an integer number (2224824).

Almost surely, 242500766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42500766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53395776).

42500766 is an abundant number, since it is smaller than the sum of its proper divisors (64290786).

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

42500766 is a wasteful number, since it uses less digits than its factorization.

42500766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 42500766 is about 6519.2611544561. The cubic root of 42500766 is about 348.9786989295.

The spelling of 42500766 in words is "forty-two million, five hundred thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 8363 16726 25089 50178 58541 91993 117082 175623 183986 275979 351246 551958 643951 1011923 1287902 1931853 2023846 3035769 3863706 6071538 7083461 14166922 21250383 42500766