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2008552 = 237133189
BaseRepresentation
bin111101010010111101000
310210001012211
413222113220
51003233202
6111014504
723033560
oct7522750
93701184
102008552
111152067
1280a434
135542c0
143a3da0
1529a1d7
hex1ea5e8

2008552 has 64 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 760320.

The previous prime is 2008529. The next prime is 2008553. The reversal of 2008552 is 2558002.

It is a super-2 number, since 2×20085522 = 8068562273408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2008553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22524 + ... + 22612.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

22008552 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 2008552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

2008552 is an abundant number, since it is smaller than the sum of its proper divisors (2829848).

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

2008552 is a wasteful number, since it uses less digits than its factorization.

2008552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2008552 is about 1417.2339256453. The cubic root of 2008552 is about 126.1714303804.

Multiplying 2008552 by its sum of digits (22), we get a palindrome (44188144).

The spelling of 2008552 in words is "two million, eight thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 89 91 104 124 178 182 217 248 356 364 403 434 623 712 728 806 868 1157 1246 1612 1736 2314 2492 2759 2821 3224 4628 4984 5518 5642 8099 9256 11036 11284 16198 19313 22072 22568 32396 35867 38626 64792 71734 77252 143468 154504 251069 286936 502138 1004276 2008552