Search a number
-
+
42434420 = 2257476449
BaseRepresentation
bin1010000111011…
…1111101110100
32221211220002012
42201313331310
541330400140
64113303352
71023454340
oct241677564
987756065
1042434420
1121a53676
1212264b58
138a39932
1458c8620
153ad3265
hex2877f74

42434420 has 48 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 14237184.

The previous prime is 42434419. The next prime is 42434423. The reversal of 42434420 is 2443424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434423) 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, 3356 + ... + 9804.

It is an arithmetic number, because the mean of its divisors is an integer number (2167200).

Almost surely, 242434420 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 42434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

42434420 is an abundant number, since it is smaller than the sum of its proper divisors (61591180).

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

42434420 is a wasteful number, since it uses less digits than its factorization.

42434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 42434420 is about 6514.1707070048. The cubic root of 42434420 is about 348.7970127995.

Adding to 42434420 its reverse (2443424), we get a palindrome (44877844).

The spelling of 42434420 in words is "forty-two million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6449 6580 12898 25796 32245 45143 64490 90286 128980 180572 225715 303103 451430 606206 902860 1212412 1515515 2121721 3031030 4243442 6062060 8486884 10608605 21217210 42434420