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395096 = 231329131
BaseRepresentation
bin1100000011101011000
3202001222012
41200131120
5100120341
612245052
73233612
oct1403530
9661865
10395096
1124a929
12170788
1310aab0
14a3db2
157c0eb
hex60758

395096 has 32 divisors (see below), whose sum is σ = 831600. Its totient is φ = 174720.

The previous prime is 395093. The next prime is 395107. The reversal of 395096 is 690593.

It is a super-2 number, since 2×3950962 = 312201698432, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395096.

It is not an unprimeable number, because it can be changed into a prime (395093) 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, 2951 + ... + 3081.

2395096 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 395096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415800).

395096 is an abundant number, since it is smaller than the sum of its proper divisors (436504).

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

395096 is a wasteful number, since it uses less digits than its factorization.

395096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 395096 is about 628.5666233583. The cubic root of 395096 is about 73.3782828192.

The spelling of 395096 in words is "three hundred ninety-five thousand, ninety-six".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 131 232 262 377 524 754 1048 1508 1703 3016 3406 3799 6812 7598 13624 15196 30392 49387 98774 197548 395096