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395700864 = 27313312557
BaseRepresentation
bin10111100101011…
…110101010000000
31000120120200112120
4113211132222000
51302244411424
6103133124240
712543254556
oct2745365200
91016520476
10395700864
111933a9a09
12b0629680
1363c97830
143a7a5bd6
1524b14a79
hex1795ea80

395700864 has 128 divisors (see below), whose sum is σ = 1168903680. Its totient is φ = 117780480.

The previous prime is 395700863. The next prime is 395700917. The reversal of 395700864 is 468007593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395700863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153474 + ... + 156030.

It is an arithmetic number, because the mean of its divisors is an integer number (9132060).

Almost surely, 2395700864 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 395700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584451840).

395700864 is an abundant number, since it is smaller than the sum of its proper divisors (773202816).

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

395700864 is a wasteful number, since it uses less digits than its factorization.

395700864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 395700864 is about 19892.2312473991. The cubic root of 395700864 is about 734.1570937828.

The spelling of 395700864 in words is "three hundred ninety-five million, seven hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2557 2976 3224 3968 4836 4992 5114 5952 6448 7671 9672 10228 11904 12896 15342 19344 20456 25792 30684 33241 38688 40912 51584 61368 66482 77376 79267 81824 99723 122736 132964 154752 158534 163648 199446 237801 245472 265928 317068 327296 398892 475602 490944 531856 634136 797784 951204 981888 1030471 1063712 1268272 1595568 1902408 2060942 2127424 2536544 3091413 3191136 3804816 4121884 4254848 5073088 6182826 6382272 7609632 8243768 10146176 12365652 12764544 15219264 16487536 24731304 30438528 32975072 49462608 65950144 98925216 131900288 197850432 395700864