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248629340 = 22515797873
BaseRepresentation
bin11101101000111…
…00100001011100
3122022211200100002
432310130201130
51002122114330
640400553432
76106212611
oct1664344134
9568750302
10248629340
111183879a3
126b322878
133c68286b
1425040508
1516c62e45
hexed1c85c

248629340 has 24 divisors (see below), whose sum is σ = 522518640. Its totient is φ = 99376128.

The previous prime is 248629319. The next prime is 248629343. The reversal of 248629340 is 43926842.

It is a happy number.

248629340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248629294 and 248629303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248629343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27644 + ... + 35516.

It is an arithmetic number, because the mean of its divisors is an integer number (21771610).

Almost surely, 2248629340 is an apocalyptic number.

248629340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248629340 is an abundant number, since it is smaller than the sum of its proper divisors (273889300).

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

248629340 is a wasteful number, since it uses less digits than its factorization.

248629340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9461 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 248629340 is about 15767.9846524532. The cubic root of 248629340 is about 628.8071322357.

The spelling of 248629340 in words is "two hundred forty-eight million, six hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1579 3158 6316 7873 7895 15746 15790 31492 31580 39365 78730 157460 12431467 24862934 49725868 62157335 124314670 248629340