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395875952 = 24317910103
BaseRepresentation
bin10111100110001…
…001011001110000
31000120220120201022
4113212021121300
51302321012302
6103140555012
712544614203
oct2746113160
91016816638
10395875952
1119350950a
12b06b2a68
1364029434
143a80d93a
1524b4b8a2
hex17989670

395875952 has 40 divisors (see below), whose sum is σ = 801853440. Its totient is φ = 189109440.

The previous prime is 395875939. The next prime is 395875967. The reversal of 395875952 is 259578593.

It is a junction number, because it is equal to n+sod(n) for n = 395875894 and 395875903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34133 + ... + 44235.

It is an arithmetic number, because the mean of its divisors is an integer number (20046336).

Almost surely, 2395875952 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 395875952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400926720).

395875952 is an abundant number, since it is smaller than the sum of its proper divisors (405977488).

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

395875952 is a wasteful number, since it uses less digits than its factorization.

395875952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221 (or 10215 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 53.

The square root of 395875952 is about 19896.6316747333. The cubic root of 395875952 is about 734.2653600303.

The spelling of 395875952 in words is "three hundred ninety-five million, eight hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 496 632 1264 2449 4898 9796 10103 19592 20206 39184 40412 80824 161648 313193 626386 798137 1252772 1596274 2505544 3192548 5011088 6385096 12770192 24742247 49484494 98968988 197937976 395875952