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42232740 = 223511611049
BaseRepresentation
bin1010000100011…
…0101110100100
32221110122102120
42201012232210
541302421430
64105105540
71021654344
oct241065644
987418376
1042232740
11219260a0
12121882b0
138998bb4
145874d24
153a93610
hex2846ba4

42232740 has 96 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 10060800.

The previous prime is 42232739. The next prime is 42232753. The reversal of 42232740 is 4723224.

It is a self number, because there is not a number n which added to its sum of digits gives 42232740.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39736 + ... + 40784.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 242232740 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 42232740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

42232740 is an abundant number, since it is smaller than the sum of its proper divisors (89008860).

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

42232740 is a wasteful number, since it uses less digits than its factorization.

42232740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42232740 is about 6498.6721720672. The cubic root of 42232740 is about 348.2435539069.

Adding to 42232740 its reverse (4723224), we get a palindrome (46955964).

The spelling of 42232740 in words is "forty-two million, two hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1049 1220 1342 1830 2013 2098 2684 3147 3355 3660 4026 4196 5245 6294 6710 8052 10065 10490 11539 12588 13420 15735 20130 20980 23078 31470 34617 40260 46156 57695 62940 63989 69234 115390 127978 138468 173085 191967 230780 255956 319945 346170 383934 639890 692340 703879 767868 959835 1279780 1407758 1919670 2111637 2815516 3519395 3839340 4223274 7038790 8446548 10558185 14077580 21116370 42232740