Search a number
-
+
42746401 is a prime number
BaseRepresentation
bin1010001100010…
…0001000100001
32222102202001001
42203010020201
541420341101
64124112001
71026224035
oct243041041
988382031
1042746401
1122147005
1212395601
138b18939
14596a1c5
153b45901
hex28c4221

42746401 has 2 divisors, whose sum is σ = 42746402. Its totient is φ = 42746400.

The previous prime is 42746369. The next prime is 42746423. The reversal of 42746401 is 10464724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22810176 + 19936225 = 4776^2 + 4465^2 .

It is a cyclic number.

It is not a de Polignac number, because 42746401 - 25 = 42746369 is a prime.

It is a super-3 number, since 3×427464013 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42746401.

It is not a weakly prime, because it can be changed into another prime (42746441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21373200 + 21373201.

It is an arithmetic number, because the mean of its divisors is an integer number (21373201).

Almost surely, 242746401 is an apocalyptic number.

It is an amenable number.

42746401 is a deficient number, since it is larger than the sum of its proper divisors (1).

42746401 is an equidigital number, since it uses as much as digits as its factorization.

42746401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 42746401 is about 6538.0731871095. The cubic root of 42746401 is about 349.6497203056.

The spelling of 42746401 in words is "forty-two million, seven hundred forty-six thousand, four hundred one".