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8019828 = 2232222773
BaseRepresentation
bin11110100101111101110100
3120002110010200
4132211331310
54023113303
6443520500
7125111265
oct36457564
916073120
108019828
114588463
122829130
13187a47b
1410ca96c
15a863a3
hex7a5f74

8019828 has 18 divisors (see below), whose sum is σ = 20272434. Its totient is φ = 2673264.

The previous prime is 8019827. The next prime is 8019839. The reversal of 8019828 is 8289108.

It can be written as a sum of positive squares in only one way, i.e., 7518564 + 501264 = 2742^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×80198282 = 128635282299168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 222773 = 8019828 / (8 + 0 + 1 + 9 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 8019792 and 8019801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8019821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111351 + ... + 111422.

Almost surely, 28019828 is an apocalyptic number.

It is an amenable number.

8019828 is an abundant number, since it is smaller than the sum of its proper divisors (12252606).

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

8019828 is a wasteful number, since it uses less digits than its factorization.

8019828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222783 (or 222778 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8019828 is about 2831.9300838827. The cubic root of 8019828 is about 200.1650970107.

The spelling of 8019828 in words is "eight million, nineteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 222773 445546 668319 891092 1336638 2004957 2673276 4009914 8019828