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612828 = 223229587
BaseRepresentation
bin10010101100111011100
31011010122100
42111213130
5124102303
621045100
75131446
oct2254734
91133570
10612828
11389477
12256790
13185c28
1411d496
15c18a3
hex959dc

612828 has 36 divisors (see below), whose sum is σ = 1605240. Its totient is φ = 196896.

The previous prime is 612823. The next prime is 612841. The reversal of 612828 is 828216.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612823) by changing a digit.

612828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (44590).

2612828 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 612828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802620).

612828 is an abundant number, since it is smaller than the sum of its proper divisors (992412).

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

612828 is a wasteful number, since it uses less digits than its factorization.

612828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 621 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 612828 is about 782.8333155915. The cubic root of 612828 is about 84.9401193016.

The spelling of 612828 in words is "six hundred twelve thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 587 1044 1174 1761 2348 3522 5283 7044 10566 17023 21132 34046 51069 68092 102138 153207 204276 306414 612828