Search a number
-
+
42241420 = 22513374391
BaseRepresentation
bin1010000100100…
…0110110001100
32221111002100001
42201020312030
541303211140
64105214044
71022021554
oct241106614
987432301
1042241420
1121931671
1212191324
13899cb30
145878164
153a95e9a
hex2848d8c

42241420 has 48 divisors (see below), whose sum is σ = 98134848. Its totient is φ = 15171840.

The previous prime is 42241417. The next prime is 42241421. The reversal of 42241420 is 2414224.

It is not an unprimeable number, because it can be changed into a prime (42241421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7425 + ... + 11815.

It is an arithmetic number, because the mean of its divisors is an integer number (2044476).

Almost surely, 242241420 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 42241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49067424).

42241420 is an abundant number, since it is smaller than the sum of its proper divisors (55893428).

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

42241420 is a wasteful number, since it uses less digits than its factorization.

42241420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 42241420 is about 6499.3399664889. The cubic root of 42241420 is about 348.2674101772.

Adding to 42241420 its reverse (2414224), we get a palindrome (44655644).

The spelling of 42241420 in words is "forty-two million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4391 4810 8782 9620 17564 21955 43910 57083 87820 114166 162467 228332 285415 324934 570830 649868 812335 1141660 1624670 2112071 3249340 4224142 8448284 10560355 21120710 42241420