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42258420 = 22325234769
BaseRepresentation
bin1010000100110…
…0111111110100
32221111221122200
42201030333310
541304232140
64105424500
71022122251
oct241147764
987457580
1042258420
1121943416
121219b130
1389a77a9
145880428
153a9b030
hex284cff4

42258420 has 36 divisors (see below), whose sum is σ = 128184420. Its totient is φ = 11268864.

The previous prime is 42258401. The next prime is 42258427. The reversal of 42258420 is 2485224.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11655396 + 30603024 = 3414^2 + 5532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42258427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117205 + ... + 117564.

Almost surely, 242258420 is an apocalyptic number.

It is an amenable number.

42258420 is an abundant number, since it is smaller than the sum of its proper divisors (85926000).

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

42258420 is a wasteful number, since it uses less digits than its factorization.

42258420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234784 (or 234779 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42258420 is about 6500.6476600413. The cubic root of 42258420 is about 348.3141238208.

The spelling of 42258420 in words is "forty-two million, two hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 234769 469538 704307 939076 1173845 1408614 2112921 2347690 2817228 3521535 4225842 4695380 7043070 8451684 10564605 14086140 21129210 42258420