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42552510 = 235711132109
BaseRepresentation
bin1010001001010…
…0110010111110
32222001220001220
42202110302332
541343140020
64120014210
71024455540
oct242246276
988056056
1042552510
1122024370
1212301366
138a7b600
145919690
153b08240
hex2894cbe

42552510 has 192 divisors, whose sum is σ = 139138560. Its totient is φ = 8087040.

The previous prime is 42552473. The next prime is 42552527. The reversal of 42552510 is 1525524.

It is a happy number.

42552510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425525102 = 3621432214600200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390336 + ... + 390444.

It is an arithmetic number, because the mean of its divisors is an integer number (724680).

Almost surely, 242552510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42552510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69569280).

42552510 is an abundant number, since it is smaller than the sum of its proper divisors (96586050).

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

42552510 is a wasteful number, since it uses less digits than its factorization.

42552510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 42552510 is about 6523.2284951548. The cubic root of 42552510 is about 349.1202668132.

The spelling of 42552510 in words is "forty-two million, five hundred fifty-two thousand, five hundred ten".