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2593152 = 27322251
BaseRepresentation
bin1001111001000110000000
311212202010200
421321012000
51130440102
6131325200
731020132
oct11710600
94782120
102593152
111511301
12a50800
136ca413
144b7052
1536351c
hex279180

2593152 has 48 divisors (see below), whose sum is σ = 7465380. Its totient is φ = 864000.

The previous prime is 2593147. The next prime is 2593159. The reversal of 2593152 is 2513952.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2593159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27 + ... + 2277.

22593152 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 2593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732690).

2593152 is an abundant number, since it is smaller than the sum of its proper divisors (4872228).

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

2593152 is a wasteful number, since it uses less digits than its factorization.

2593152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2256 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 2593152 is about 1610.3266749328. The cubic root of 2593152 is about 137.3860565677.

The spelling of 2593152 in words is "two million, five hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2251 4502 6753 9004 13506 18008 20259 27012 36016 40518 54024 72032 81036 108048 144064 162072 216096 288128 324144 432192 648288 864384 1296576 2593152