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248125504 = 261121792
BaseRepresentation
bin11101100101000…
…01100001000000
3122021220002012111
432302201201000
51002010004004
640342105104
76102013654
oct1662414100
9567802174
10248125504
11118073400
126b11b194
133c537433
1424d4ca64
1516bb3a04
hexeca1840

248125504 has 63 divisors (see below), whose sum is σ = 544244911. Its totient is φ = 112154240.

The previous prime is 248125477. The next prime is 248125543. The reversal of 248125504 is 405521842.

The square root of 248125504 is 15752.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1386087 + ... + 1386265.

Almost surely, 2248125504 is an apocalyptic number.

248125504 is the 15752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248125504

248125504 is an abundant number, since it is smaller than the sum of its proper divisors (296119407).

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

248125504 is an equidigital number, since it uses as much as digits as its factorization.

248125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The cubic root of 248125504 is about 628.3820953573.

The spelling of 248125504 in words is "two hundred forty-eight million, one hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 179 242 352 358 484 704 716 968 1432 1936 1969 2864 3872 3938 5728 7744 7876 11456 15752 21659 31504 32041 43318 63008 64082 86636 126016 128164 173272 256328 346544 352451 512656 693088 704902 1025312 1386176 1409804 2050624 2819608 3876961 5639216 7753922 11278432 15507844 22556864 31015688 62031376 124062752 248125504