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42703116 = 22317353593
BaseRepresentation
bin1010001011100…
…1100100001100
32222100112122220
42202321210030
541412444431
64123135340
71025653611
oct242714414
988315586
1042703116
1122117535
1212374550
138b02021
145958508
153b37b96
hex28b990c

42703116 has 48 divisors (see below), whose sum is σ = 105979104. Its totient is φ = 13336576.

The previous prime is 42703097. The next prime is 42703117. The reversal of 42703116 is 61130724.

It is a super-2 number, since 2×427031162 = 3647112232218912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42703117) 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 15 ways as a sum of consecutive naturals, for example, 71716 + ... + 72308.

It is an arithmetic number, because the mean of its divisors is an integer number (2207898).

Almost surely, 242703116 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 42703116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52989552).

42703116 is an abundant number, since it is smaller than the sum of its proper divisors (63275988).

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

42703116 is a wasteful number, since it uses less digits than its factorization.

42703116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 42703116 is about 6534.7621226790. The cubic root of 42703116 is about 349.5316620279.

The spelling of 42703116 in words is "forty-two million, seven hundred three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 353 593 706 1059 1186 1412 1779 2118 2372 3558 4236 6001 7116 10081 12002 18003 20162 24004 30243 36006 40324 60486 72012 120972 209329 418658 627987 837316 1255974 2511948 3558593 7117186 10675779 14234372 21351558 42703116