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42345540 = 22325435471
BaseRepresentation
bin1010000110001…
…0010001000100
32221200101011100
42201202101010
541320024130
64111340100
71022634246
oct241422104
987611140
1042345540
11219a2916
1212221630
138a08343
1458a4096
153ab6c60
hex2862444

42345540 has 72 divisors (see below), whose sum is σ = 131459328. Its totient is φ = 11027520.

The previous prime is 42345491. The next prime is 42345587. The reversal of 42345540 is 4554324.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5005 + ... + 10475.

It is an arithmetic number, because the mean of its divisors is an integer number (1825824).

Almost surely, 242345540 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 42345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65729664).

42345540 is an abundant number, since it is smaller than the sum of its proper divisors (89113788).

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

42345540 is a wasteful number, since it uses less digits than its factorization.

42345540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 42345540 is about 6507.3450807530. The cubic root of 42345540 is about 348.5533210990.

Adding to 42345540 its reverse (4554324), we get a palindrome (46899864).

The spelling of 42345540 in words is "forty-two million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 5471 7740 10942 16413 21884 27355 32826 49239 54710 65652 82065 98478 109420 164130 196956 235253 246195 328260 470506 492390 705759 941012 984780 1176265 1411518 2117277 2352530 2823036 3528795 4234554 4705060 7057590 8469108 10586385 14115180 21172770 42345540