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395084248 = 231323331499
BaseRepresentation
bin10111100011001…
…000000111011000
31000112102100200221
4113203020013120
51302120143443
6103112005424
712535106056
oct2743100730
91015370627
10395084248
11193018709
12b0390874
1363b0cc80
143a6851d6
1524a41eed
hex178c81d8

395084248 has 64 divisors (see below), whose sum is σ = 836640000. Its totient is φ = 173543040.

The previous prime is 395084219. The next prime is 395084297. The reversal of 395084248 is 842480593.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 791503 + ... + 792001.

It is an arithmetic number, because the mean of its divisors is an integer number (13072500).

Almost surely, 2395084248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395084248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418320000).

395084248 is an abundant number, since it is smaller than the sum of its proper divisors (441555752).

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

395084248 is a wasteful number, since it uses less digits than its factorization.

395084248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 395084248 is about 19876.7262898094. The cubic root of 395084248 is about 733.7755527438.

The spelling of 395084248 in words is "three hundred ninety-five million, eighty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 331 499 598 662 998 1196 1324 1996 2392 2648 3992 4303 6487 7613 8606 11477 12974 15226 17212 22954 25948 30452 34424 45908 51896 60904 91816 98969 149201 165169 197938 298402 330338 395876 596804 660676 791752 1193608 1321352 2147197 3798887 4294394 7597774 8588788 15195548 17177576 30391096 49385531 98771062 197542124 395084248