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2352896 = 28713101
BaseRepresentation
bin1000111110011100000000
311102112120022
420332130000
51100243041
6122233012
725666520
oct10763400
94375508
102352896
111367847
12955768
13644c60
14453680
1531724b
hex23e700

2352896 has 72 divisors (see below), whose sum is σ = 5837664. Its totient is φ = 921600.

The previous prime is 2352887. The next prime is 2352899. The reversal of 2352896 is 6982532.

It is a super-2 number, since 2×23528962 = 11072239173632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23246 + ... + 23346.

22352896 is an apocalyptic number.

2352896 is a gapful number since it is divisible by the number (26) 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 2352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918832).

2352896 is an abundant number, since it is smaller than the sum of its proper divisors (3484768).

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

2352896 is a wasteful number, since it uses less digits than its factorization.

2352896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 2352896 is about 1533.9152518963. The cubic root of 2352896 is about 133.0048804435.

The spelling of 2352896 in words is "two million, three hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 101 104 112 128 182 202 208 224 256 364 404 416 448 707 728 808 832 896 1313 1414 1456 1616 1664 1792 2626 2828 2912 3232 3328 5252 5656 5824 6464 9191 10504 11312 11648 12928 18382 21008 22624 23296 25856 36764 42016 45248 73528 84032 90496 147056 168064 180992 294112 336128 588224 1176448 2352896