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5309577 = 337132161
BaseRepresentation
bin10100010000010010001001
3100222202101000
4110100102021
52324401302
6305445213
763062550
oct24202211
910882330
105309577
112aa7189
121940809
13113b980
149c2d97
156ed31c
hex510489

5309577 has 32 divisors (see below), whose sum is σ = 9685760. Its totient is φ = 2799360.

The previous prime is 5309539. The next prime is 5309599. The reversal of 5309577 is 7759035.

It is not a de Polignac number, because 5309577 - 210 = 5308553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5309077) 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 31 ways as a sum of consecutive naturals, for example, 1377 + ... + 3537.

It is an arithmetic number, because the mean of its divisors is an integer number (302680).

Almost surely, 25309577 is an apocalyptic number.

It is an amenable number.

5309577 is a deficient number, since it is larger than the sum of its proper divisors (4376183).

5309577 is a wasteful number, since it uses less digits than its factorization.

5309577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 5309577 is about 2304.2519393504. The cubic root of 5309577 is about 174.4562934630.

It can be divided in two parts, 5309 and 577, that added together give a triangular number (5886 = T108).

The spelling of 5309577 in words is "five million, three hundred nine thousand, five hundred seventy-seven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2161 2457 6483 15127 19449 28093 45381 58347 84279 136143 196651 252837 408429 589953 758511 1769859 5309577