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832034025 = 34526412
BaseRepresentation
bin110001100101111…
…101010011101001
32010222121201010000
4301211331103221
53201000042100
6214321213213
726422113114
oct6145752351
92128551100
10832034025
11397730529
121b2791209
131034ba934
147c70757b
154d0a3900
hex3197d4e9

832034025 has 45 divisors (see below), whose sum is σ = 1543622773. Its totient is φ = 443059200.

The previous prime is 832034011. The next prime is 832034051. The reversal of 832034025 is 520430238.

The square root of 832034025 is 28845.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 85433049 + 746600976 = 9243^2 + 27324^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 832034025 - 29 = 832033513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 832034025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1297705 + ... + 1298345.

Almost surely, 2832034025 is an apocalyptic number.

832034025 is the 28845-th square number.

832034025 is the 14423-rd centered octagonal number.

It is an amenable number.

832034025 is a deficient number, since it is larger than the sum of its proper divisors (711588748).

832034025 is an frugal number, since it uses more digits than its factorization.

832034025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 832034025 is about 940.5466960935.

The spelling of 832034025 in words is "eight hundred thirty-two million, thirty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 641 675 1923 2025 3205 5769 9615 16025 17307 28845 48075 51921 86535 144225 259605 410881 432675 1232643 1298025 2054405 3697929 6163215 10272025 11093787 18489645 30816075 33281361 55468935 92448225 166406805 277344675 832034025