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42801275 = 52112367101
BaseRepresentation
bin1010001101000…
…1100001111011
32222112112022102
42203101201323
541424120100
64125214015
71026543026
oct243214173
988475272
1042801275
1122184260
121240130b
138b378ca
1459821bd
153b56cd5
hex28d187b

42801275 has 48 divisors (see below), whose sum is σ = 61924608. Its totient is φ = 29040000.

The previous prime is 42801271. The next prime is 42801299. The reversal of 42801275 is 57210824.

42801275 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 42801275 - 22 = 42801271 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42801271) 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 47 ways as a sum of consecutive naturals, for example, 423725 + ... + 423825.

It is an arithmetic number, because the mean of its divisors is an integer number (1290096).

Almost surely, 242801275 is an apocalyptic number.

42801275 is a deficient number, since it is larger than the sum of its proper divisors (19123333).

42801275 is a wasteful number, since it uses less digits than its factorization.

42801275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 42801275 is about 6542.2683375111. The cubic root of 42801275 is about 349.7992726586.

It can be divided in two parts, 4280 and 1275, that added together give a palindrome (5555).

The spelling of 42801275 in words is "forty-two million, eight hundred one thousand, two hundred seventy-five".

Divisors: 1 5 11 23 25 55 67 101 115 253 275 335 505 575 737 1111 1265 1541 1675 2323 2525 3685 5555 6325 6767 7705 11615 16951 18425 25553 27775 33835 38525 58075 74437 84755 127765 155641 169175 372185 423775 638825 778205 1712051 1860925 3891025 8560255 42801275