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248350368 = 25371953367
BaseRepresentation
bin11101100110110…
…00011010100000
3122022022111122210
432303120122200
51002034202433
640351002120
76103641360
oct1663303240
9568274583
10248350368
11118207342
126b209340
133c5b58a6
1424daa9a0
1516c0a463
hexecd86a0

248350368 has 192 divisors, whose sum is σ = 801239040. Its totient is φ = 65774592.

The previous prime is 248350363. The next prime is 248350409. The reversal of 248350368 is 863053842.

It is not an unprimeable number, because it can be changed into a prime (248350363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 676521 + ... + 676887.

It is an arithmetic number, because the mean of its divisors is an integer number (4173120).

Almost surely, 2248350368 is an apocalyptic number.

248350368 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 248350368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400619520).

248350368 is an abundant number, since it is smaller than the sum of its proper divisors (552888672).

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

248350368 is a wasteful number, since it uses less digits than its factorization.

248350368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 248350368 is about 15759.1360169268. The cubic root of 248350368 is about 628.5718620225.

The spelling of 248350368 in words is "two hundred forty-eight million, three hundred fifty thousand, three hundred sixty-eight".