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2152608 = 253171319
BaseRepresentation
bin1000001101100010100000
311001100211020
420031202200
51022340413
6114045440
724203553
oct10154240
94040736
102152608
111240317
12879880
135a4a43
1440069a
152c7c23
hex20d8a0

2152608 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 674816.

The previous prime is 2152607. The next prime is 2152621. The reversal of 2152608 is 8062512.

2152608 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2152607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973 + ... + 2291.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

22152608 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 2152608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2152608 is an abundant number, since it is smaller than the sum of its proper divisors (3834912).

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

2152608 is a wasteful number, since it uses less digits than its factorization.

2152608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2152608 is about 1467.1768809520. The cubic root of 2152608 is about 129.1184537833.

The spelling of 2152608 in words is "two million, one hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1319 1632 2638 3957 5276 7914 10552 15828 21104 22423 31656 42208 44846 63312 67269 89692 126624 134538 179384 269076 358768 538152 717536 1076304 2152608