Search a number
-
+
642948037 is a prime number
BaseRepresentation
bin100110010100101…
…001101111000101
31122210211010220021
4212110221233011
52304043314122
6143444335141
721634653034
oct4624515705
91583733807
10642948037
112aaa22416
1215b3a44b1
13a3285234
146156671b
153b6a31c7
hex26529bc5

642948037 has 2 divisors, whose sum is σ = 642948038. Its totient is φ = 642948036.

The previous prime is 642947993. The next prime is 642948071. The reversal of 642948037 is 730849246.

642948037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 585930436 + 57017601 = 24206^2 + 7551^2 .

It is a cyclic number.

It is not a de Polignac number, because 642948037 - 27 = 642947909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 642947984 and 642948002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (642948337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 321474018 + 321474019.

It is an arithmetic number, because the mean of its divisors is an integer number (321474019).

Almost surely, 2642948037 is an apocalyptic number.

It is an amenable number.

642948037 is a deficient number, since it is larger than the sum of its proper divisors (1).

642948037 is an equidigital number, since it uses as much as digits as its factorization.

642948037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 642948037 is about 25356.4200351706. The cubic root of 642948037 is about 863.0950480886.

It can be divided in two parts, 64294 and 8037, that multiplied together give a triangular number (516730878 = T32147).

The spelling of 642948037 in words is "six hundred forty-two million, nine hundred forty-eight thousand, thirty-seven".