Search a number
-
+
610642461 = 311132223491
BaseRepresentation
bin100100011001011…
…010101000011101
31120120000211222110
4210121122220131
52222311024321
6140332104233
721063242502
oct4431325035
91516024873
10610642461
112937677a0
12150605079
1399683a00
145b1574a9
1538921176
hex2465aa1d

610642461 has 48 divisors (see below), whose sum is σ = 968067072. Its totient is φ = 339393600.

The previous prime is 610642453. The next prime is 610642477. The reversal of 610642461 is 164246016.

It is not a de Polignac number, because 610642461 - 23 = 610642453 is a prime.

It is a super-2 number, since 2×6106424612 = 745768430352273042, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610642421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243426 + ... + 1243916.

It is an arithmetic number, because the mean of its divisors is an integer number (20168064).

Almost surely, 2610642461 is an apocalyptic number.

It is an amenable number.

610642461 is a deficient number, since it is larger than the sum of its proper divisors (357424611).

610642461 is a wasteful number, since it uses less digits than its factorization.

610642461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 610642461 is about 24711.1808904390. The cubic root of 610642461 is about 848.3902455976.

Adding to 610642461 its reverse (164246016), we get a palindrome (774888477).

The spelling of 610642461 in words is "six hundred ten million, six hundred forty-two thousand, four hundred sixty-one".

Divisors: 1 3 11 13 33 39 143 169 223 429 491 507 669 1473 1859 2453 2899 5401 5577 6383 7359 8697 16203 19149 31889 37687 70213 82979 95667 109493 113061 210639 248937 328479 414557 912769 1204423 1243671 1423409 2738307 3613269 4270227 15657499 18504317 46972497 55512951 203547487 610642461