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248348106 = 2343374549
BaseRepresentation
bin11101100110101…
…11110111001010
3122022022101120000
432303113313022
51002034114411
640350543430
76103631646
oct1663276712
9568271500
10248348106
11118205676
126b207b76
133c5b4856
1424da9c26
1516c09956
hexecd7dca

248348106 has 40 divisors (see below), whose sum is σ = 558257700. Its totient is φ = 82518912.

The previous prime is 248348077. The next prime is 248348137. The reversal of 248348106 is 601843842.

It can be written as a sum of positive squares in 2 ways, for example, as 248346081 + 2025 = 15759^2 + 45^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52320 + ... + 56868.

Almost surely, 2248348106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248348106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279128850).

248348106 is an abundant number, since it is smaller than the sum of its proper divisors (309909594).

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

248348106 is a wasteful number, since it uses less digits than its factorization.

248348106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 248348106 is about 15759.0642488696. The cubic root of 248348106 is about 628.5699536516.

The spelling of 248348106 in words is "two hundred forty-eight million, three hundred forty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 337 674 1011 2022 3033 4549 6066 9098 9099 13647 18198 27294 27297 40941 54594 81882 122823 245646 368469 736938 1533013 3066026 4599039 9198078 13797117 27594234 41391351 82782702 124174053 248348106