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5809152 = 21033161
BaseRepresentation
bin10110001010010000000000
3101221010122210
4112022100000
52441343102
6324302120
7100243206
oct26122000
911833583
105809152
113308558
121b41940
13128518b
14ab3076
1579b36c
hex58a400

5809152 has 88 divisors (see below), whose sum is σ = 16244992. Its totient is φ = 1843200.

The previous prime is 5809151. The next prime is 5809159. The reversal of 5809152 is 2519085.

5809152 = T48 + T49 + ... + T326.

It is not an unprimeable number, because it can be changed into a prime (5809151) 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, 95202 + ... + 95262.

Almost surely, 25809152 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 5809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122496).

5809152 is an abundant number, since it is smaller than the sum of its proper divisors (10435840).

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

5809152 is a wasteful number, since it uses less digits than its factorization.

5809152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5809152 is about 2410.2182473793. The cubic root of 5809152 is about 179.7646306350.

The spelling of 5809152 in words is "five million, eight hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 64 93 96 122 124 128 183 186 192 244 248 256 366 372 384 488 496 512 732 744 768 976 992 1024 1464 1488 1536 1891 1952 1984 2928 2976 3072 3782 3904 3968 5673 5856 5952 7564 7808 7936 11346 11712 11904 15128 15616 15872 22692 23424 23808 30256 31232 31744 45384 46848 47616 60512 62464 90768 93696 95232 121024 181536 187392 242048 363072 484096 726144 968192 1452288 1936384 2904576 5809152