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2928204 = 2233191427
BaseRepresentation
bin1011001010111001001100
312111202202000
423022321030
51222200304
6142432300
733614016
oct13127114
95452660
102928204
111720004
12b92690
137b6a86
145631b6
153cc939
hex2cae4c

2928204 has 48 divisors (see below), whose sum is σ = 7996800. Its totient is φ = 924048.

The previous prime is 2928203. The next prime is 2928209. The reversal of 2928204 is 4028292.

2928204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2928203) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1339 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (166600).

22928204 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 2928204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998400).

2928204 is an abundant number, since it is smaller than the sum of its proper divisors (5068596).

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

2928204 is a wasteful number, since it uses less digits than its factorization.

2928204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2928204 is about 1711.1995792426. The cubic root of 2928204 is about 143.0651242972.

The spelling of 2928204 in words is "two million, nine hundred twenty-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 1427 2052 2854 4281 5708 8562 12843 17124 25686 27113 38529 51372 54226 77058 81339 108452 154116 162678 244017 325356 488034 732051 976068 1464102 2928204