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5131152 = 2432132741
BaseRepresentation
bin10011100100101110010000
3100122200121200
4103210232100
52303144102
6301551200
761420425
oct23445620
910580550
105131152
112995124
121875500
1310a86b0
14977d4c
156b551c
hex4e4b90

5131152 has 60 divisors (see below), whose sum is σ = 15470364. Its totient is φ = 1578240.

The previous prime is 5131141. The next prime is 5131157. The reversal of 5131152 is 2511315.

5131152 is a `hidden beast` number, since 513 + 1 + 152 = 666.

5131152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 4016016 = 1056^2 + 2004^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5131157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502 + ... + 3242.

Almost surely, 25131152 is an apocalyptic number.

5131152 is a gapful number since it is divisible by the number (52) 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 5131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735182).

5131152 is an abundant number, since it is smaller than the sum of its proper divisors (10339212).

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

5131152 is a wasteful number, since it uses less digits than its factorization.

5131152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2759 counting only the distinct ones).

The product of its digits is 150, while the sum is 18.

The square root of 5131152 is about 2265.2046265183. The cubic root of 5131152 is about 172.4798212061.

Adding to 5131152 its reverse (2511315), we get a palindrome (7642467).

The spelling of 5131152 in words is "five million, one hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2741 5482 8223 10964 16446 21928 24669 32892 35633 43856 49338 65784 71266 98676 106899 131568 142532 197352 213798 285064 320697 394704 427596 570128 641394 855192 1282788 1710384 2565576 5131152