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42316420 = 2251925861
BaseRepresentation
bin1010000101101…
…1001010000100
32221121220012211
42201123022010
541313111140
64110553204
71022453326
oct241331204
987556184
1042316420
1121982a53
1212208804
1389c8003
145897616
153aad2ea
hex285b284

42316420 has 36 divisors (see below), whose sum is σ = 93803724. Its totient is φ = 16032960.

The previous prime is 42316409. The next prime is 42316433. The reversal of 42316420 is 2461324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17156164 + 25160256 = 4142^2 + 5016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42316391 and 42316400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4290 + ... + 10150.

It is an arithmetic number, because the mean of its divisors is an integer number (2605659).

Almost surely, 242316420 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 42316420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46901862).

42316420 is an abundant number, since it is smaller than the sum of its proper divisors (51487304).

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

42316420 is a wasteful number, since it uses less digits than its factorization.

42316420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42316420 is about 6505.1072243277. The cubic root of 42316420 is about 348.4734055581.

Adding to 42316420 its reverse (2461324), we get a palindrome (44777744).

The spelling of 42316420 in words is "forty-two million, three hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 5861 7220 11722 23444 29305 58610 111359 117220 222718 445436 556795 1113590 2115821 2227180 4231642 8463284 10579105 21158210 42316420