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202064828 = 22728312421
BaseRepresentation
bin11000000101101…
…00001110111100
3112002012221211112
430002310032330
5403212033303
632014541152
75002344200
oct1402641674
9462187745
10202064828
11a4073329
12578077b8
1332b2b0b4
141cb9cb00
1512b160d8
hexc0b43bc

202064828 has 36 divisors (see below), whose sum is σ = 416335752. Its totient is φ = 85548960.

The previous prime is 202064801. The next prime is 202064843. The reversal of 202064828 is 828460202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202064794 and 202064803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10058 + ... + 22478.

It is an arithmetic number, because the mean of its divisors is an integer number (11564882).

Almost surely, 2202064828 is an apocalyptic number.

202064828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202064828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208167876).

202064828 is an abundant number, since it is smaller than the sum of its proper divisors (214270924).

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

202064828 is a wasteful number, since it uses less digits than its factorization.

202064828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 202064828 is about 14214.9508616808. The cubic root of 202064828 is about 586.8091924436.

The spelling of 202064828 in words is "two hundred two million, sixty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 83 98 166 196 332 581 1162 2324 4067 8134 12421 16268 24842 49684 86947 173894 347788 608629 1030943 1217258 2061886 2434516 4123772 7216601 14433202 28866404 50516207 101032414 202064828