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42319836 = 223213312917
BaseRepresentation
bin1010000101101…
…1111111011100
32221122001220100
42201123333130
541313213321
64111021100
71022466306
oct241337734
987561810
1042319836
1121985579
121220a790
1389c9730
145898976
153aae326
hex285bfdc

42319836 has 72 divisors (see below), whose sum is σ = 118961024. Its totient is φ = 12597120.

The previous prime is 42319819. The next prime is 42319843. The reversal of 42319836 is 63891324.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42319836.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13050 + ... + 15966.

Almost surely, 242319836 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 42319836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59480512).

42319836 is an abundant number, since it is smaller than the sum of its proper divisors (76641188).

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

42319836 is a wasteful number, since it uses less digits than its factorization.

42319836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2966 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42319836 is about 6505.3697819571. The cubic root of 42319836 is about 348.4827821635.

The spelling of 42319836 in words is "forty-two million, three hundred nineteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 2917 3627 4836 5834 7254 8751 11668 14508 17502 26253 35004 37921 52506 75842 90427 105012 113763 151684 180854 227526 271281 341289 361708 455052 542562 682578 813843 1085124 1175551 1365156 1627686 2351102 3255372 3526653 4702204 7053306 10579959 14106612 21159918 42319836