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2088828 = 22357307
BaseRepresentation
bin111111101111101111100
310221010100000
413331331330
51013320303
6112434300
723516610
oct7757574
93833300
102088828
1111a7405
12848990
135819c1
143c5340
152b3da3
hex1fdf7c

2088828 has 72 divisors (see below), whose sum is σ = 6278272. Its totient is φ = 594864.

The previous prime is 2088817. The next prime is 2088829. The reversal of 2088828 is 8288802.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2088792 and 2088801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6651 + ... + 6957.

22088828 is an apocalyptic number.

2088828 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 2088828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139136).

2088828 is an abundant number, since it is smaller than the sum of its proper divisors (4189444).

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

2088828 is a wasteful number, since it uses less digits than its factorization.

2088828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2088828 is about 1445.2778279625. The cubic root of 2088828 is about 127.8304232272.

It can be divided in two parts, 2088 and 828, that added together give a square (2916 = 542).

The spelling of 2088828 in words is "two million, eighty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 307 324 378 486 567 614 756 921 972 1134 1228 1701 1842 2149 2268 2763 3402 3684 4298 5526 6447 6804 8289 8596 11052 12894 16578 19341 24867 25788 33156 38682 49734 58023 74601 77364 99468 116046 149202 174069 232092 298404 348138 522207 696276 1044414 2088828