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895354164 = 2232176772161
BaseRepresentation
bin110101010111100…
…000010100110100
32022101202201000100
4311113200110310
53313202313124
6224502314100
731121245665
oct6527402464
92271681010
10895354164
1141a449921
1220ba28930
1311365ab83
1486cab36c
15539101c9
hex355e0534

895354164 has 72 divisors (see below), whose sum is σ = 2401039368. Its totient is φ = 280350720.

The previous prime is 895354153. The next prime is 895354169. The reversal of 895354164 is 461453598.

It can be written as a sum of positive squares in 4 ways, for example, as 599858064 + 295496100 = 24492^2 + 17190^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895354169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413244 + ... + 415404.

It is an arithmetic number, because the mean of its divisors is an integer number (33347769).

Almost surely, 2895354164 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 895354164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200519684).

895354164 is an abundant number, since it is smaller than the sum of its proper divisors (1505685204).

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

895354164 is a wasteful number, since it uses less digits than its factorization.

895354164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2860 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 895354164 is about 29922.4692162930. The cubic root of 895354164 is about 963.8252195425.

The spelling of 895354164 in words is "eight hundred ninety-five million, three hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 677 1354 2031 2161 2708 4062 4322 6093 6483 8124 8644 11509 12186 12966 19449 23018 24372 25932 34527 36737 38898 46036 69054 73474 77796 103581 110211 138108 146948 207162 220422 330633 414324 440844 661266 1322532 1462997 2925994 4388991 5851988 8777982 13166973 17555964 24870949 26333946 49741898 52667892 74612847 99483796 149225694 223838541 298451388 447677082 895354164