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42619038 = 23711293181
BaseRepresentation
bin1010001010010…
…1000010011110
32222012021022220
42202211002132
541402302123
64121250210
71025153520
oct242450236
988167286
1042619038
112206a350
1212333966
138aa2987
145935a10
153b1cce3
hex28a509e

42619038 has 64 divisors (see below), whose sum is σ = 109969920. Its totient is φ = 10684800.

The previous prime is 42619037. The next prime is 42619039. The reversal of 42619038 is 83091624.

It is an interprime number because it is at equal distance from previous prime (42619037) and next prime (42619039).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42619037) 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 31 ways as a sum of consecutive naturals, for example, 11808 + ... + 14988.

It is an arithmetic number, because the mean of its divisors is an integer number (1718280).

Almost surely, 242619038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42619038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54984960).

42619038 is an abundant number, since it is smaller than the sum of its proper divisors (67350882).

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

42619038 is a wasteful number, since it uses less digits than its factorization.

42619038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 42619038 is about 6528.3258190749. The cubic root of 42619038 is about 349.3021141306.

The spelling of 42619038 in words is "forty-two million, six hundred nineteen thousand, thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 319 406 462 609 638 957 1218 1914 2233 3181 4466 6362 6699 9543 13398 19086 22267 34991 44534 66801 69982 92249 104973 133602 184498 209946 244937 276747 489874 553494 645743 734811 1014739 1291486 1469622 1937229 2029478 3044217 3874458 6088434 7103173 14206346 21309519 42619038