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42118692 = 22371179577
BaseRepresentation
bin1010000010101…
…0111000100100
32221020211222120
42200222320210
541240244232
64102425540
71021001010
oct240527044
987224876
1042118692
1121858440
12121322b0
138959005
145845540
153a6e92c
hex282ae24

42118692 has 96 divisors (see below), whose sum is σ = 124293120. Its totient is φ = 10782720.

The previous prime is 42118663. The next prime is 42118693. The reversal of 42118692 is 29681124.

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

It is not an unprimeable number, because it can be changed into a prime (42118693) 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, 72708 + ... + 73284.

It is an arithmetic number, because the mean of its divisors is an integer number (1294720).

Almost surely, 242118692 is an apocalyptic number.

42118692 is a gapful number since it is divisible by the number (42) 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 42118692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62146560).

42118692 is an abundant number, since it is smaller than the sum of its proper divisors (82174428).

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

42118692 is a wasteful number, since it uses less digits than its factorization.

42118692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 42118692 is about 6489.8915245172. The cubic root of 42118692 is about 347.9297982319.

The spelling of 42118692 in words is "forty-two million, one hundred eighteen thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 79 84 132 154 158 231 237 308 316 462 474 553 577 869 924 948 1106 1154 1659 1731 1738 2212 2308 2607 3318 3462 3476 4039 5214 6083 6347 6636 6924 8078 10428 12117 12166 12694 16156 18249 19041 24234 24332 25388 36498 38082 44429 45583 48468 72996 76164 88858 91166 133287 136749 177716 182332 266574 273498 319081 501413 533148 546996 638162 957243 1002826 1276324 1504239 1914486 2005652 3008478 3509891 3828972 6016956 7019782 10529673 14039564 21059346 42118692