Search a number
-
+
642670431 = 313171098893
BaseRepresentation
bin100110010011100…
…101111101011111
31122210022001002120
4212103211331133
52304010423211
6143434354023
721632415504
oct4623457537
91583261076
10642670431
112aa852897
1215b28b913
13a31b8a80
14614d34ab
153b64ad06
hex264e5f5f

642670431 has 32 divisors (see below), whose sum is σ = 986166720. Its totient is φ = 368769024.

The previous prime is 642670429. The next prime is 642670453. The reversal of 642670431 is 134076246.

It is a happy number.

It is not a de Polignac number, because 642670431 - 21 = 642670429 is a prime.

It is a super-2 number, since 2×6426704312 = 826050565763451522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642670392 and 642670401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642670471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67821 + ... + 76713.

It is an arithmetic number, because the mean of its divisors is an integer number (30817710).

Almost surely, 2642670431 is an apocalyptic number.

642670431 is a deficient number, since it is larger than the sum of its proper divisors (343496289).

642670431 is a wasteful number, since it uses less digits than its factorization.

642670431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 642670431 is about 25350.9453669878. The cubic root of 642670431 is about 862.9708105440.

The spelling of 642670431 in words is "six hundred forty-two million, six hundred seventy thousand, four hundred thirty-one".

Divisors: 1 3 13 17 39 51 109 221 327 663 1417 1853 4251 5559 8893 24089 26679 72267 115609 151181 346827 453543 969337 1965353 2908011 5896059 12601381 16478729 37804143 49436187 214223477 642670431