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395233488 = 243213211129
BaseRepresentation
bin10111100011101…
…100100011010000
31000112200221102100
4113203230203100
51302134432423
6103115120400
712536300136
oct2743544320
91015627370
10395233488
1119310a851
12b0443100
1363b62b90
143a6c3756
1524a71343
hex178ec8d0

395233488 has 60 divisors (see below), whose sum is σ = 1191195460. Its totient is φ = 121609728.

The previous prime is 395233483. The next prime is 395233523. The reversal of 395233488 is 884332593.

It can be written as a sum of positive squares in 2 ways, for example, as 146603664 + 248629824 = 12108^2 + 15768^2 .

It is a super-2 number, since 2×3952334882 = 312419020073292288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395233483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103693 + ... + 107436.

Almost surely, 2395233488 is an apocalyptic number.

It is an amenable number.

395233488 is an abundant number, since it is smaller than the sum of its proper divisors (795961972).

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

395233488 is a wasteful number, since it uses less digits than its factorization.

395233488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211156 (or 211147 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 395233488 is about 19880.4800746863. The cubic root of 395233488 is about 733.8679337809.

The spelling of 395233488 in words is "three hundred ninety-five million, two hundred thirty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 211129 422258 633387 844516 1266774 1689032 1900161 2533548 2744677 3378064 3800322 5067096 5489354 7600644 8234031 10134192 10978708 15201288 16468062 21957416 24702093 30402576 32936124 43914832 49404186 65872248 98808372 131744496 197616744 395233488