Search a number
-
+
2542690801 = 72371402477
BaseRepresentation
bin1001011110001110…
…0110000111110001
320120012112002001101
42113203212013301
520201412101201
61100150404401
7120003341500
oct22743460761
96505462041
102542690801
111095312262
125ab660701
13316a28991
141a19a4837
15ed35ed01
hex978e61f1

2542690801 has 12 divisors (see below), whose sum is σ = 3037767348. Its totient is φ = 2120543712.

The previous prime is 2542690793. The next prime is 2542690849. The reversal of 2542690801 is 1080962452.

It can be written as a sum of positive squares in 2 ways, for example, as 1731808225 + 810882576 = 41615^2 + 28476^2 .

It is not a de Polignac number, because 2542690801 - 23 = 2542690793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (2542690001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 699426 + ... + 703051.

It is an arithmetic number, because the mean of its divisors is an integer number (253147279).

Almost surely, 22542690801 is an apocalyptic number.

It is an amenable number.

2542690801 is a deficient number, since it is larger than the sum of its proper divisors (495076547).

2542690801 is a wasteful number, since it uses less digits than its factorization.

2542690801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402528 (or 1402521 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2542690801 is about 50425.1009022292. The cubic root of 2542690801 is about 1364.8906245914.

The spelling of 2542690801 in words is "two billion, five hundred forty-two million, six hundred ninety thousand, eight hundred one".

Divisors: 1 7 37 49 259 1813 1402477 9817339 51891649 68721373 363241543 2542690801