Search a number
-
+
42436940 = 22572133331
BaseRepresentation
bin1010000111100…
…0100101001100
32221212000112112
42201320211030
541330440230
64113323152
71023464600
oct241704514
987760475
1042436940
1121a55557
12122664b8
138a3ab20
1458c9500
153ad3d95
hex287894c

42436940 has 72 divisors (see below), whose sum is σ = 111675312. Its totient is φ = 13426560.

The previous prime is 42436939. The next prime is 42436951. The reversal of 42436940 is 4963424.

It is a junction number, because it is equal to n+sod(n) for n = 42436897 and 42436906.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11075 + ... + 14405.

It is an arithmetic number, because the mean of its divisors is an integer number (1551046).

Almost surely, 242436940 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 42436940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55837656).

42436940 is an abundant number, since it is smaller than the sum of its proper divisors (69238372).

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

42436940 is a wasteful number, since it uses less digits than its factorization.

42436940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 42436940 is about 6514.3641286007. The cubic root of 42436940 is about 348.8039171873.

The spelling of 42436940 in words is "forty-two million, four hundred thirty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 3331 6370 6662 12740 13324 16655 23317 33310 43303 46634 66620 86606 93268 116585 163219 173212 216515 233170 303121 326438 433030 466340 606242 652876 816095 866060 1212484 1515605 1632190 2121847 3031210 3264380 4243694 6062420 8487388 10609235 21218470 42436940