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42415128 = 23327233659
BaseRepresentation
bin1010000111001…
…1010000011000
32221210220121200
42201303100120
541324241003
64113034200
71023344160
oct241632030
987726550
1042415128
1121a40128
1212255960
138a30c12
1458c15a0
153acc6a3
hex2873418

42415128 has 96 divisors (see below), whose sum is σ = 137030400. Its totient is φ = 11588544.

The previous prime is 42415123. The next prime is 42415129. The reversal of 42415128 is 82151424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42415123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9763 + ... + 13421.

It is an arithmetic number, because the mean of its divisors is an integer number (1427400).

Almost surely, 242415128 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 42415128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68515200).

42415128 is an abundant number, since it is smaller than the sum of its proper divisors (94615272).

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

42415128 is a wasteful number, since it uses less digits than its factorization.

42415128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3694 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42415128 is about 6512.6897669089. The cubic root of 42415128 is about 348.7441468166.

The spelling of 42415128 in words is "forty-two million, four hundred fifteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3659 3864 5796 7318 10977 11592 14636 21954 25613 29272 32931 43908 51226 65862 76839 84157 87816 102452 131724 153678 168314 204904 230517 252471 263448 307356 336628 461034 504942 589099 614712 673256 757413 922068 1009884 1178198 1514826 1767297 1844136 2019768 2356396 3029652 3534594 4712792 5301891 6059304 7069188 10603782 14138376 21207564 42415128