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248348107 = 71937109463
BaseRepresentation
bin11101100110101…
…11110111001011
3122022022101120001
432303113313023
51002034114412
640350543431
76103631650
oct1663276713
9568271501
10248348107
11118205677
126b207b77
133c5b4857
1424da9c27
1516c09957
hexecd7dcb

248348107 has 32 divisors (see below), whose sum is σ = 310323200. Its totient is φ = 193995648.

The previous prime is 248348077. The next prime is 248348137. The reversal of 248348107 is 701843842.

It is an interprime number because it is at equal distance from previous prime (248348077) and next prime (248348137).

It is not a de Polignac number, because 248348107 - 215 = 248315339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (248348137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536158 + ... + 536620.

It is an arithmetic number, because the mean of its divisors is an integer number (9697600).

Almost surely, 2248348107 is an apocalyptic number.

248348107 is the 9099-th hex number.

248348107 is a deficient number, since it is larger than the sum of its proper divisors (61975093).

248348107 is a wasteful number, since it uses less digits than its factorization.

248348107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 248348107 is about 15759.0642805974. The cubic root of 248348107 is about 628.5699544953.

The spelling of 248348107 in words is "two hundred forty-eight million, three hundred forty-eight thousand, one hundred seven".

Divisors: 1 7 19 37 109 133 259 463 703 763 2071 3241 4033 4921 8797 14497 17131 28231 50467 61579 76627 119917 325489 353269 536389 958873 1867279 2278423 6712111 13070953 35478301 248348107