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42506996 = 2274161607
BaseRepresentation
bin1010001000100…
…1101011110100
32221222120122012
42202021223310
541340210441
64115023352
71024206050
oct242115364
987876565
1042506996
1121aa3154
121229ab58
138a6398c
145906c60
153ae99eb
hex2889af4

42506996 has 48 divisors (see below), whose sum is σ = 88660992. Its totient is φ = 17452800.

The previous prime is 42506957. The next prime is 42506999. The reversal of 42506996 is 69960524.

42506996 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (41).

42506996 is a Rhonda number in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42506999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69725 + ... + 70331.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 242506996 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 42506996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44330496).

42506996 is an abundant number, since it is smaller than the sum of its proper divisors (46153996).

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

42506996 is a wasteful number, since it uses less digits than its factorization.

42506996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 42506996 is about 6519.7389518293. The cubic root of 42506996 is about 348.9957498463.

The spelling of 42506996 in words is "forty-two million, five hundred six thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 41 61 82 122 164 244 287 427 574 607 854 1148 1214 1708 2428 2501 4249 5002 8498 10004 16996 17507 24887 35014 37027 49774 70028 74054 99548 148108 174209 259189 348418 518378 696836 1036756 1518107 3036214 6072428 10626749 21253498 42506996