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561528132 = 2231137114973
BaseRepresentation
bin100001011110000…
…011110101000100
31110010121120210020
4201132003311010
52122222400012
6131415255140
716625624154
oct4136036504
91403546706
10561528132
11268a71440
1213807a4b0
138c448789
1454810764
153446da8c
hex21783d44

561528132 has 48 divisors (see below), whose sum is σ = 1467988032. Its totient is φ = 165559680.

The previous prime is 561528127. The next prime is 561528133. The reversal of 561528132 is 231825165.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 561528093 and 561528102.

It is not an unprimeable number, because it can be changed into a prime (561528133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52603 + ... + 62370.

It is an arithmetic number, because the mean of its divisors is an integer number (30583084).

Almost surely, 2561528132 is an apocalyptic number.

It is an amenable number.

561528132 is an abundant number, since it is smaller than the sum of its proper divisors (906459900).

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

561528132 is a wasteful number, since it uses less digits than its factorization.

561528132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115028 (or 115026 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 561528132 is about 23696.5848172263. The cubic root of 561528132 is about 825.0061252070.

The spelling of 561528132 in words is "five hundred sixty-one million, five hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 114973 229946 344919 459892 689838 1264703 1379676 2529406 3794109 4254001 5058812 7588218 8508002 12762003 15176436 17016004 25524006 46794011 51048012 93588022 140382033 187176044 280764066 561528132