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826000628 = 221931069949
BaseRepresentation
bin110001001110111…
…100010011110100
32010120021011211212
4301032330103310
53142424010003
6213544020552
726316614045
oct6116742364
92116234755
10826000628
1139428a552
121b0761758
1310218768b
147b9b68cc
154c7b0dd8
hex313bc4f4

826000628 has 12 divisors (see below), whose sum is σ = 1452992100. Its totient is φ = 410860032.

The previous prime is 826000597. The next prime is 826000657.

It is a happy number.

826000628 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 361684324 + 464316304 = 19018^2 + 21548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 826000594 and 826000603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 534203 + ... + 535746.

It is an arithmetic number, because the mean of its divisors is an integer number (121082675).

Almost surely, 2826000628 is an apocalyptic number.

It is an amenable number.

826000628 is a deficient number, since it is larger than the sum of its proper divisors (626991472).

826000628 is a wasteful number, since it uses less digits than its factorization.

826000628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070146 (or 1070144 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 826000628 is about 28740.2266518551. The cubic root of 826000628 is about 938.2677574031.

It can be divided in two parts, 826000 and 628, that added together give a palindrome (826628).

The spelling of 826000628 in words is "eight hundred twenty-six million, six hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 193 386 772 1069949 2139898 4279796 206500157 413000314 826000628