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263142628 = 227194311503
BaseRepresentation
bin11111010111100…
…11110011100100
3200100011000211021
433223303303210
51014331031003
642040020524
76343450450
oct1753636344
9610130737
10263142628
1112559aa51
1274161744
13426947c8
1426d3b660
151817d2bd
hexfaf3ce4

263142628 has 48 divisors (see below), whose sum is σ = 566917120. Its totient is φ = 104346144.

The previous prime is 263142611. The next prime is 263142629. The reversal of 263142628 is 826241362.

It is a junction number, because it is equal to n+sod(n) for n = 263142593 and 263142602.

It is not an unprimeable number, because it can be changed into a prime (263142629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17125 + ... + 28627.

Almost surely, 2263142628 is an apocalyptic number.

263142628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263142628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283458560).

263142628 is an abundant number, since it is smaller than the sum of its proper divisors (303774492).

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

263142628 is a wasteful number, since it uses less digits than its factorization.

263142628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11576 (or 11574 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 263142628 is about 16221.6715538196. The cubic root of 263142628 is about 640.8116557601.

The spelling of 263142628 in words is "two hundred sixty-three million, one hundred forty-two thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 3268 5719 11438 11503 22876 23006 46012 80521 161042 218557 322084 437114 494629 874228 989258 1529899 1978516 3059798 3462403 6119596 6924806 9397951 13849612 18795902 37591804 65785657 131571314 263142628