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2529032 = 231129991
BaseRepresentation
bin1001101001011100001000
311202111011212
421221130020
51121412112
6130112252
730332162
oct11513410
94674155
102529032
111478110
12a1b688
136a718c
1449b932
1534e522
hex269708

2529032 has 32 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 1108800.

The previous prime is 2529029. The next prime is 2529041. The reversal of 2529032 is 2309252.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2528989 and 2529007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2057 + ... + 3047.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

22529032 is an apocalyptic number.

2529032 is a gapful number since it is divisible by the number (22) 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 2529032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

2529032 is an abundant number, since it is smaller than the sum of its proper divisors (2827768).

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

2529032 is a wasteful number, since it uses less digits than its factorization.

2529032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 2529032 is about 1590.2930547544. The cubic root of 2529032 is about 136.2442266723.

The spelling of 2529032 in words is "two million, five hundred twenty-nine thousand, thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 991 1276 1982 2552 3964 7928 10901 21802 28739 43604 57478 87208 114956 229912 316129 632258 1264516 2529032