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42418240 = 265711867
BaseRepresentation
bin1010000111010…
…0000001000000
32221211001212221
42201310001000
541324340430
64113100424
71023356224
oct241640100
987731787
1042418240
1121a424a7
1212257714
138a32467
1458c2784
153acd57a
hex2874040

42418240 has 56 divisors (see below), whose sum is σ = 102485952. Its totient is φ = 16719360.

The previous prime is 42418219. The next prime is 42418267. The reversal of 42418240 is 4281424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21787 + ... + 23653.

Almost surely, 242418240 is an apocalyptic number.

42418240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51242976).

42418240 is an abundant number, since it is smaller than the sum of its proper divisors (60067712).

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

42418240 is a wasteful number, since it uses less digits than its factorization.

42418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 42418240 is about 6512.9286807089. The cubic root of 42418240 is about 348.7526757330.

Adding to 42418240 its reverse (4281424), we get a palindrome (46699664).

The spelling of 42418240 in words is "forty-two million, four hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 1867 2272 2840 3734 4544 5680 7468 9335 11360 14936 18670 22720 29872 37340 59744 74680 119488 132557 149360 265114 298720 530228 597440 662785 1060456 1325570 2120912 2651140 4241824 5302280 8483648 10604560 21209120 42418240