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42251916 = 22372181397
BaseRepresentation
bin1010000100101…
…1011010001100
32221111121201210
42201023122030
541304030131
64105334420
71022064300
oct241133214
987447653
1042251916
1121939543
1212197410
1389a4845
14587bd00
153a99146
hex284b68c

42251916 has 72 divisors (see below), whose sum is σ = 115607856. Its totient is φ = 11975040.

The previous prime is 42251903. The next prime is 42251917. The reversal of 42251916 is 61915224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42251917) 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, 106230 + ... + 106626.

Almost surely, 242251916 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 42251916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57803928).

42251916 is an abundant number, since it is smaller than the sum of its proper divisors (73355940).

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

42251916 is a wasteful number, since it uses less digits than its factorization.

42251916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 590 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 42251916 is about 6500.1473829445. The cubic root of 42251916 is about 348.2962532103.

The spelling of 42251916 in words is "forty-two million, two hundred fifty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 181 196 294 362 397 543 588 724 794 1086 1191 1267 1588 2172 2382 2534 2779 3801 4764 5068 5558 7602 8337 8869 11116 15204 16674 17738 19453 26607 33348 35476 38906 53214 58359 71857 77812 106428 116718 143714 215571 233436 287428 431142 502999 862284 1005998 1508997 2011996 3017994 3520993 6035988 7041986 10562979 14083972 21125958 42251916