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395370528 = 25373118979
BaseRepresentation
bin10111100100001…
…110000000100000
31000112221220101220
4113210032000200
51302203324103
6103122055040
712540410520
oct2744160040
91015856356
10395370528
111931a3803
12b04aa480
1363bb0377
143a71b680
1524a9bc53
hex1790e020

395370528 has 96 divisors (see below), whose sum is σ = 1224437760. Its totient is φ = 109313280.

The previous prime is 395370511. The next prime is 395370539. The reversal of 395370528 is 825073593.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 395370528.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11343 + ... + 30321.

It is an arithmetic number, because the mean of its divisors is an integer number (12754560).

Almost surely, 2395370528 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 395370528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612218880).

395370528 is an abundant number, since it is smaller than the sum of its proper divisors (829067232).

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

395370528 is a wasteful number, since it uses less digits than its factorization.

395370528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19030 (or 19022 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 395370528 is about 19883.9263728269. The cubic root of 395370528 is about 733.9527424180.

The spelling of 395370528 in words is "three hundred ninety-five million, three hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 18979 20832 37958 56937 75916 113874 132853 151832 227748 265706 303664 398559 455496 531412 588349 607328 797118 910992 1062824 1176698 1594236 1765047 1821984 2125648 2353396 3188472 3530094 4118443 4251296 4706792 6376944 7060188 8236886 9413584 12355329 12753888 14120376 16473772 18827168 24710658 28240752 32947544 49421316 56481504 65895088 98842632 131790176 197685264 395370528