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248228928 = 2633143651
BaseRepresentation
bin11101100101110…
…10110001000000
3122022002100002000
432302322301000
51002021311203
640344224000
76102624333
oct1662726100
9568070060
10248228928
11118134082
126b16b000
133c57252c
1424d7861a
1516bd44a3
hexecbac40

248228928 has 56 divisors (see below), whose sum is σ = 729752160. Its totient is φ = 82742400.

The previous prime is 248228909. The next prime is 248228933. The reversal of 248228928 is 829822842.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70098 + ... + 73553.

Almost surely, 2248228928 is an apocalyptic number.

It is an amenable number.

248228928 is an abundant number, since it is smaller than the sum of its proper divisors (481523232).

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

248228928 is a wasteful number, since it uses less digits than its factorization.

248228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143672 (or 143656 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 248228928 is about 15755.2825426902. The cubic root of 248228928 is about 628.4693909142.

The spelling of 248228928 in words is "two hundred forty-eight million, two hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 143651 287302 430953 574604 861906 1149208 1292859 1723812 2298416 2585718 3447624 3878577 4596832 5171436 6895248 7757154 9193664 10342872 13790496 15514308 20685744 27580992 31028616 41371488 62057232 82742976 124114464 248228928