Search a number
-
+
5105952 = 253217729
BaseRepresentation
bin10011011110100100100000
3100121102001100
4103132210200
52301342302
6301234400
761254105
oct23364440
910542040
105105952
1129781a5
121862a00
13109a097
1496caac
156acd1c
hex4de920

5105952 has 36 divisors (see below), whose sum is σ = 14520870. Its totient is φ = 1701888.

The previous prime is 5105951. The next prime is 5105957. The reversal of 5105952 is 2595015.

It can be written as a sum of positive squares in only one way, i.e., 4016016 + 1089936 = 2004^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (5105951) 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, 8577 + ... + 9152.

Almost surely, 25105952 is an apocalyptic number.

It is an amenable number.

5105952 is an abundant number, since it is smaller than the sum of its proper divisors (9414918).

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

5105952 is a wasteful number, since it uses less digits than its factorization.

5105952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17745 (or 17734 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 5105952 is about 2259.6353688151. The cubic root of 5105952 is about 172.1969980092.

The spelling of 5105952 in words is "five million, one hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 17729 35458 53187 70916 106374 141832 159561 212748 283664 319122 425496 567328 638244 850992 1276488 1701984 2552976 5105952