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42665128 = 23111313701
BaseRepresentation
bin1010001011000…
…0010010101000
32222021121112221
42202300102220
541410241003
64122243424
71025435062
oct242602250
988247487
1042665128
11220a0a40
1212356574
138aba94c
145948732
153b2b7bd
hex28b04a8

42665128 has 32 divisors (see below), whose sum is σ = 87959520. Its totient is φ = 19240000.

The previous prime is 42665113. The next prime is 42665137. The reversal of 42665128 is 82156624.

It is a junction number, because it is equal to n+sod(n) for n = 42665093 and 42665102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9678 + ... + 13378.

It is an arithmetic number, because the mean of its divisors is an integer number (2748735).

Almost surely, 242665128 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 42665128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43979760).

42665128 is an abundant number, since it is smaller than the sum of its proper divisors (45294392).

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

42665128 is a wasteful number, since it uses less digits than its factorization.

42665128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3845 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 42665128 is about 6531.8548667281. The cubic root of 42665128 is about 349.4279853780.

The spelling of 42665128 in words is "forty-two million, six hundred sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 2882 3701 5764 7402 11528 14804 29608 40711 81422 162844 325688 484831 969662 1939324 3878648 5333141 10666282 21332564 42665128