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395458950 = 235212720759
BaseRepresentation
bin10111100100100…
…011100110000110
31000120010101200210
4113210203212012
51302214141300
6103124020250
712541226355
oct2744434606
91016111623
10395458950
11193254187
12b0531686
1363c116a3
143a74199c
1524ab8050
hex17923986

395458950 has 48 divisors (see below), whose sum is σ = 988508160. Its totient is φ = 104620320.

The previous prime is 395458937. The next prime is 395458957. The reversal of 395458950 is 59854593.

It is a happy number.

It is a super-2 number, since 2×3954589502 = 312775562270205000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 395458950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395458957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8671 + ... + 29429.

It is an arithmetic number, because the mean of its divisors is an integer number (20593920).

Almost surely, 2395458950 is an apocalyptic number.

395458950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395458950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494254080).

395458950 is an abundant number, since it is smaller than the sum of its proper divisors (593049210).

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

395458950 is a wasteful number, since it uses less digits than its factorization.

395458950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20901 (or 20896 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 395458950 is about 19886.1497027454. The cubic root of 395458950 is about 734.0074528962.

The spelling of 395458950 in words is "three hundred ninety-five million, four hundred fifty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 127 150 254 381 635 762 1270 1905 3175 3810 6350 9525 19050 20759 41518 62277 103795 124554 207590 311385 518975 622770 1037950 1556925 2636393 3113850 5272786 7909179 13181965 15818358 26363930 39545895 65909825 79091790 131819650 197729475 395458950