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2173952 = 21011193
BaseRepresentation
bin1000010010110000000000
311002110002202
420102300000
51024031302
6114332332
724323024
oct10226000
94073082
102173952
111255360
1288a0a8
135b1681
14408384
152ce202
hex212c00

2173952 has 44 divisors (see below), whose sum is σ = 4765416. Its totient is φ = 983040.

The previous prime is 2173907. The next prime is 2173957. The reversal of 2173952 is 2593712.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (2173957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11168 + ... + 11360.

22173952 is an apocalyptic number.

2173952 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 2173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382708).

2173952 is an abundant number, since it is smaller than the sum of its proper divisors (2591464).

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

2173952 is a wasteful number, since it uses less digits than its factorization.

2173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 2173952 is about 1474.4327722891. The cubic root of 2173952 is about 129.5438053382.

It can be divided in two parts, 2173 and 952, that added together give a 5-th power (3125 = 55).

The spelling of 2173952 in words is "two million, one hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 193 256 352 386 512 704 772 1024 1408 1544 2123 2816 3088 4246 5632 6176 8492 11264 12352 16984 24704 33968 49408 67936 98816 135872 197632 271744 543488 1086976 2173952