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532360832 = 275397809
BaseRepresentation
bin11111101110110…
…010111010000000
31101002201201202212
4133232302322000
52042241021312
6124454201252
716122664253
oct3756627200
91332651685
10532360832
1125355a633
1212a353228
13863a5813
14509bb09a
1531b0b822
hex1fbb2e80

532360832 has 64 divisors (see below), whose sum is σ = 1093062600. Its totient is φ = 258146304.

The previous prime is 532360823. The next prime is 532360883. The reversal of 532360832 is 238063235.

It can be written as a sum of positive squares in 4 ways, for example, as 528264256 + 4096576 = 22984^2 + 2024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657644 + ... + 658452.

Almost surely, 2532360832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546531300).

532360832 is an abundant number, since it is smaller than the sum of its proper divisors (560701768).

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

532360832 is an equidigital number, since it uses as much as digits as its factorization.

532360832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 532360832 is about 23072.9458890710. The cubic root of 532360832 is about 810.4670537113.

The spelling of 532360832 in words is "five hundred thirty-two million, three hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 97 106 128 194 212 388 424 776 809 848 1552 1618 1696 3104 3236 3392 5141 6208 6472 6784 10282 12416 12944 20564 25888 41128 42877 51776 78473 82256 85754 103552 156946 164512 171508 313892 329024 343016 627784 658048 686032 1255568 1372064 2511136 2744128 4159069 5022272 5488256 8318138 10044544 16636276 33272552 66545104 133090208 266180416 532360832