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42514401 = 3431392371
BaseRepresentation
bin1010001000101…
…1011111100001
32221222221210110
42202023133201
541340430101
64115121533
71024236456
oct242133741
987887713
1042514401
1121aa8776
12122a32a9
138a67167
14590982d
153aebcd6
hex288b7e1

42514401 has 16 divisors (see below), whose sum is σ = 58446080. Its totient is φ = 27473040.

The previous prime is 42514387. The next prime is 42514429. The reversal of 42514401 is 10441524.

It is a happy number.

42514401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42514401 - 26 = 42514337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42514441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16746 + ... + 19116.

It is an arithmetic number, because the mean of its divisors is an integer number (3652880).

Almost surely, 242514401 is an apocalyptic number.

It is an amenable number.

42514401 is a deficient number, since it is larger than the sum of its proper divisors (15931679).

42514401 is a wasteful number, since it uses less digits than its factorization.

42514401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 42514401 is about 6520.3068179343. The cubic root of 42514401 is about 349.0160144593.

Adding to 42514401 its reverse (10441524), we get a palindrome (52955925).

The spelling of 42514401 in words is "forty-two million, five hundred fourteen thousand, four hundred one".

Divisors: 1 3 43 129 139 417 2371 5977 7113 17931 101953 305859 329569 988707 14171467 42514401