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248116752 = 243213132541
BaseRepresentation
bin11101100100111…
…11011000010000
3122021212122012100
432302133120100
51002004214002
640342000400
76101646312
oct1662373020
9567778170
10248116752
11118067874
126b116100
133c533460
1424d497b2
1516bb111c
hexec9f610

248116752 has 60 divisors (see below), whose sum is σ = 747801964. Its totient is φ = 76343040.

The previous prime is 248116741. The next prime is 248116753. The reversal of 248116752 is 257611842.

248116752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 114575616 + 133541136 = 10704^2 + 11556^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248116753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64399 + ... + 68142.

Almost surely, 2248116752 is an apocalyptic number.

It is an amenable number.

248116752 is an abundant number, since it is smaller than the sum of its proper divisors (499685212).

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

248116752 is a wasteful number, since it uses less digits than its factorization.

248116752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132568 (or 132559 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 248116752 is about 15751.7221915573. The cubic root of 248116752 is about 628.3747070737.

The spelling of 248116752 in words is "two hundred forty-eight million, one hundred sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 132541 265082 397623 530164 795246 1060328 1192869 1590492 1723033 2120656 2385738 3180984 3446066 4771476 5169099 6361968 6892132 9542952 10338198 13784264 15507297 19085904 20676396 27568528 31014594 41352792 62029188 82705584 124058376 248116752