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2928888 = 2332192141
BaseRepresentation
bin1011001011000011111000
312111210200100
423023003320
51222211023
6142435400
733616014
oct13130370
95453610
102928888
111720576
12b92b60
137b7191
14563544
153ccc43
hex2cb0f8

2928888 has 48 divisors (see below), whose sum is σ = 8353800. Its totient is φ = 924480.

The previous prime is 2928881. The next prime is 2928929. The reversal of 2928888 is 8888292.

2928888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928881) 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 11 ways as a sum of consecutive naturals, for example, 298 + ... + 2438.

22928888 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 2928888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176900).

2928888 is an abundant number, since it is smaller than the sum of its proper divisors (5424912).

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

2928888 is a wasteful number, since it uses less digits than its factorization.

2928888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2165 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 2928888 is about 1711.3994273693. The cubic root of 2928888 is about 143.0762629709.

It can be divided in two parts, 292 and 8888, that added together give a triangular number (9180 = T135).

The spelling of 2928888 in words is "two million, nine hundred twenty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2141 4282 6423 8564 12846 17128 19269 25692 38538 40679 51384 77076 81358 122037 154152 162716 244074 325432 366111 488148 732222 976296 1464444 2928888