Search a number
-
+
247563148 = 22731733907
BaseRepresentation
bin11101100000110…
…00001110001100
3122020211111210111
432300120032030
51001334010043
640322045404
76064152310
oct1660301614
9566744714
10247563148
11117819948
126aaa9864
133c39b491
1424c43b40
1516b0209d
hexec1838c

247563148 has 48 divisors (see below), whose sum is σ = 518232064. Its totient is φ = 101243520.

The previous prime is 247563143. The next prime is 247563167. The reversal of 247563148 is 841365742.

It is a super-2 number, since 2×2475631482 = 122575024495339808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247563148.

It is not an unprimeable number, because it can be changed into a prime (247563143) 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, 61411 + ... + 65317.

Almost surely, 2247563148 is an apocalyptic number.

247563148 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 247563148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259116032).

247563148 is an abundant number, since it is smaller than the sum of its proper divisors (270668916).

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

247563148 is a wasteful number, since it uses less digits than its factorization.

247563148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4020 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 247563148 is about 15734.1395697382. The cubic root of 247563148 is about 627.9070108573.

The spelling of 247563148 in words is "two hundred forty-seven million, five hundred sixty-three thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 62 73 124 146 217 292 434 511 868 1022 2044 2263 3907 4526 7814 9052 15628 15841 27349 31682 54698 63364 109396 121117 242234 285211 484468 570422 847819 1140844 1695638 1996477 3391276 3992954 7985908 8841541 17683082 35366164 61890787 123781574 247563148