Search a number
-
+
5251400505 = 345132573881
BaseRepresentation
bin1001110010000001…
…00000001100111001
3111112222102210020000
410321000200030321
541223324304010
62225031423213
7244064111361
oct47100401471
914488383200
105251400505
112255307a1a
121026824b09
13658c718a0
1437b6239a1
1520b0657c0
hex139020339

5251400505 has 80 divisors (see below), whose sum is σ = 10179815184. Its totient is φ = 2574581760.

The previous prime is 5251400501. The next prime is 5251400509. The reversal of 5251400505 is 5050041525.

5251400505 is a `hidden beast` number, since 5 + 251 + 400 + 5 + 0 + 5 = 666.

5251400505 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5251400501) and next prime (5251400509).

It can be written as a sum of positive squares in 8 ways, for example, as 88115769 + 5163284736 = 9387^2 + 71856^2 .

It is not a de Polignac number, because 5251400505 - 22 = 5251400501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5251400501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1351165 + ... + 1355045.

Almost surely, 25251400505 is an apocalyptic number.

It is an amenable number.

5251400505 is a deficient number, since it is larger than the sum of its proper divisors (4928414679).

5251400505 is a wasteful number, since it uses less digits than its factorization.

5251400505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 5251400505 is about 72466.5474891691. The cubic root of 5251400505 is about 1738.1678545028.

The spelling of 5251400505 in words is "five billion, two hundred fifty-one million, four hundred thousand, five hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 257 351 405 585 771 1053 1285 1755 2313 3341 3855 3881 5265 6939 10023 11565 11643 16705 19405 20817 30069 34695 34929 50115 50453 58215 90207 104085 104787 150345 151359 174645 252265 270621 314361 451035 454077 523935 756795 997417 1353105 1362231 1571805 2270385 2992251 4086693 4987085 6811155 8976753 12966421 14961255 20433465 26930259 38899263 44883765 64832105 80790777 116697789 134651295 194496315 350093367 403953885 583488945 1050280101 1750466835 5251400505