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42553540 = 22519113991
BaseRepresentation
bin1010001001010…
…1000011000100
32222001221111001
42202111003010
541343203130
64120023044
71024461541
oct242250304
988057431
1042553540
1122025117
1212301a84
138a7bc13
145919bc8
153b086ca
hex28950c4

42553540 has 48 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 15966720.

The previous prime is 42553517. The next prime is 42553543. The reversal of 42553540 is 4535524.

It is a junction number, because it is equal to n+sod(n) for n = 42553499 and 42553508.

It is not an unprimeable number, because it can be changed into a prime (42553543) 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, 42445 + ... + 43435.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 242553540 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 42553540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

42553540 is an abundant number, since it is smaller than the sum of its proper divisors (52440380).

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

42553540 is a wasteful number, since it uses less digits than its factorization.

42553540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 42553540 is about 6523.3074433143. The cubic root of 42553540 is about 349.1230836543.

The spelling of 42553540 in words is "forty-two million, five hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 190 226 380 452 565 991 1130 1982 2147 2260 3964 4294 4955 8588 9910 10735 18829 19820 21470 37658 42940 75316 94145 111983 188290 223966 376580 447932 559915 1119830 2127677 2239660 4255354 8510708 10638385 21276770 42553540