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42454440 = 23325717991
BaseRepresentation
bin1010000111110…
…0110110101000
32221212220112200
42201330312220
541332020230
64113540200
71023566610
oct241746650
987786480
1042454440
1121a67716
1212274660
138a45a92
1458d1a40
153ad9160
hex287cda8

42454440 has 192 divisors, whose sum is σ = 167132160. Its totient is φ = 9123840.

The previous prime is 42454427. The next prime is 42454471. The reversal of 42454440 is 4445424.

42454440 = 2023 + 2033 + ... + 2063.

It is a happy number.

42454440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 42345 + ... + 43335.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 242454440 is an apocalyptic number.

42454440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42454440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

42454440 is an abundant number, since it is smaller than the sum of its proper divisors (124677720).

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

42454440 is a wasteful number, since it uses less digits than its factorization.

42454440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 42454440 is about 6515.7071757408. The cubic root of 42454440 is about 348.8518567865.

Adding to 42454440 its reverse (4445424), we get a palindrome (46899864).

The spelling of 42454440 in words is "forty-two million, four hundred fifty-four thousand, four hundred forty".