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395531532 = 2233112231493
BaseRepresentation
bin10111100100110…
…101010100001100
31000120021002021000
4113210311110030
51302224002112
6103125340300
712541651104
oct2744652414
91016232230
10395531532
111932a3770
12b0567690
1363c38736
143a760204
1524ace7dc
hex1793550c

395531532 has 96 divisors (see below), whose sum is σ = 1124444160. Its totient is φ = 119240640.

The previous prime is 395531489. The next prime is 395531533. The reversal of 395531532 is 235135593.

It is a happy number.

395531532 is a `hidden beast` number, since 3 + 95 + 5 + 31 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (395531533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264178 + ... + 265670.

It is an arithmetic number, because the mean of its divisors is an integer number (11712960).

Almost surely, 2395531532 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 395531532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562222080).

395531532 is an abundant number, since it is smaller than the sum of its proper divisors (728912628).

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

395531532 is a wasteful number, since it uses less digits than its factorization.

395531532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1732 counting only the distinct ones).

The product of its digits is 60750, while the sum is 36.

The square root of 395531532 is about 19887.9745575058. The cubic root of 395531532 is about 734.0523563937.

The spelling of 395531532 in words is "three hundred ninety-five million, five hundred thirty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 223 297 396 446 594 669 892 1188 1338 1493 2007 2453 2676 2986 4014 4479 4906 5972 6021 7359 8028 8958 9812 12042 13437 14718 16423 17916 22077 24084 26874 29436 32846 40311 44154 49269 53748 65692 66231 80622 88308 98538 132462 147807 161244 197076 264924 295614 332939 443421 591228 665878 886842 998817 1331756 1773684 1997634 2996451 3662329 3995268 5992902 7324658 8989353 10986987 11985804 14649316 17978706 21973974 32960961 35957412 43947948 65921922 98882883 131843844 197765766 395531532