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42407118 = 23313193313
BaseRepresentation
bin1010000111000…
…1010011001110
32221210111122000
42201301103032
541324011433
64112533130
71023311625
oct241612316
987714560
1042407118
1121a35106
12122511a6
138a2a390
1458bc6bc
153aca113
hex28714ce

42407118 has 64 divisors (see below), whose sum is σ = 102338880. Its totient is φ = 12939264.

The previous prime is 42407111. The next prime is 42407119. The reversal of 42407118 is 81170424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42407091 and 42407100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42407111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135330 + ... + 135642.

It is an arithmetic number, because the mean of its divisors is an integer number (1599045).

Almost surely, 242407118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42407118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51169440).

42407118 is an abundant number, since it is smaller than the sum of its proper divisors (59931762).

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

42407118 is a wasteful number, since it uses less digits than its factorization.

42407118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 42407118 is about 6512.0747845829. The cubic root of 42407118 is about 348.7221922561.

The spelling of 42407118 in words is "forty-two million, four hundred seven thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 193 234 313 351 386 579 626 702 939 1158 1737 1878 2509 2817 3474 4069 5018 5211 5634 7527 8138 8451 10422 12207 15054 16902 22581 24414 36621 45162 60409 67743 73242 109863 120818 135486 181227 219726 362454 543681 785317 1087362 1570634 1631043 2355951 3262086 4711902 7067853 14135706 21203559 42407118