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5005332 = 2232257541
BaseRepresentation
bin10011000110000000010100
3100102022000200
4103012000110
52240132312
6255140500
760354543
oct23060024
910368020
105005332
112909642
121814730
131063347
1494415a
1568d0dc
hex4c6014

5005332 has 36 divisors (see below), whose sum is σ = 12725076. Its totient is φ = 1658880.

The previous prime is 5005309. The next prime is 5005337. The reversal of 5005332 is 2335005.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 1179396 = 1956^2 + 1086^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8982 + ... + 9522.

Almost surely, 25005332 is an apocalyptic number.

It is an amenable number.

5005332 is an abundant number, since it is smaller than the sum of its proper divisors (7719744).

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

5005332 is a wasteful number, since it uses less digits than its factorization.

5005332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 5005332 is about 2237.2599312552. The cubic root of 5005332 is about 171.0583570188.

It can be divided in two parts, 500 and 5332, that added together give a cube (5832 = 183).

The spelling of 5005332 in words is "five million, five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 541 771 1028 1082 1542 1623 2164 2313 3084 3246 4626 4869 6492 9252 9738 19476 139037 278074 417111 556148 834222 1251333 1668444 2502666 5005332