Search a number
-
+
42310801 = 135361409
BaseRepresentation
bin1010000101100…
…1110010010001
32221121121111201
42201121302101
541312421201
64110511201
71022431051
oct241316221
987547451
1042310801
1121979805
1212205501
1389c55a0
145895561
153aab801
hex2859c91

42310801 has 8 divisors (see below), whose sum is σ = 46425960. Its totient is φ = 38318592.

The previous prime is 42310789. The next prime is 42310813. The reversal of 42310801 is 10801324.

42310801 = 45992 + 46002.

It is an interprime number because it is at equal distance from previous prime (42310789) and next prime (42310813).

It can be written as a sum of positive squares in 4 ways, for example, as 14432401 + 27878400 = 3799^2 + 5280^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42310801 - 25 = 42310769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42310831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30016 + ... + 31393.

It is an arithmetic number, because the mean of its divisors is an integer number (5803245).

Almost surely, 242310801 is an apocalyptic number.

42310801 is the 4600-th centered square number.

It is an amenable number.

42310801 is a deficient number, since it is larger than the sum of its proper divisors (4115159).

42310801 is a wasteful number, since it uses less digits than its factorization.

42310801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61475.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 42310801 is about 6504.6753185689. The cubic root of 42310801 is about 348.4579808227.

The spelling of 42310801 in words is "forty-two million, three hundred ten thousand, eight hundred one".

Divisors: 1 13 53 689 61409 798317 3254677 42310801