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258530142 = 23133123449
BaseRepresentation
bin11110110100011…
…01101101011110
3200000110200200110
433122031231132
51012140431032
641353110450
76256320123
oct1732155536
9600420613
10258530142
11122a2a582
12726b8426
134173b220
142649a74a
1517a6b7cc
hexf68db5e

258530142 has 48 divisors (see below), whose sum is σ = 575542800. Its totient is φ = 76959360.

The previous prime is 258530141. The next prime is 258530149. The reversal of 258530142 is 241035852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258530141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73234 + ... + 76682.

It is an arithmetic number, because the mean of its divisors is an integer number (11990475).

Almost surely, 2258530142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258530142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287771400).

258530142 is an abundant number, since it is smaller than the sum of its proper divisors (317012658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258530142 is a wasteful number, since it uses less digits than its factorization.

258530142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 258530142 is about 16078.8725351002. The cubic root of 258530142 is about 637.0454158715.

Adding to 258530142 its reverse (241035852), we get a palindrome (499565994).

The spelling of 258530142 in words is "two hundred fifty-eight million, five hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 961 1209 1922 2418 2883 3449 5766 6898 10347 12493 20694 24986 37479 44837 74958 89674 106919 134511 213838 269022 320757 641514 1389947 2779894 3314489 4169841 6628978 8339682 9943467 19886934 43088357 86176714 129265071 258530142