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32056096 = 254153461
BaseRepresentation
bin111101001001…
…0001100100000
32020022121200211
41322102030200
531201243341
63103023504
7536321002
oct172221440
966277624
1032056096
1117105246
12a89ab94
136844b07
144386372
152c33181
hex1e92320

32056096 has 48 divisors (see below), whose sum is σ = 66012408. Its totient is φ = 15308800.

The previous prime is 32056091. The next prime is 32056099. The reversal of 32056096 is 69065023.

It can be written as a sum of positive squares in 4 ways, for example, as 20250000 + 11806096 = 4500^2 + 3436^2 .

It is a super-2 number, since 2×320560962 = 2055186581522432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32056091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69306 + ... + 69766.

Almost surely, 232056096 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 32056096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33006204).

32056096 is an abundant number, since it is smaller than the sum of its proper divisors (33956312).

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

32056096 is a wasteful number, since it uses less digits than its factorization.

32056096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 32056096 is about 5661.8103111991. The cubic root of 32056096 is about 317.6656163665.

The spelling of 32056096 in words is "thirty-two million, fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 53 82 106 164 212 328 424 461 656 848 922 1312 1696 1844 2173 3688 4346 7376 8692 14752 17384 18901 24433 34768 37802 48866 69536 75604 97732 151208 195464 302416 390928 604832 781856 1001753 2003506 4007012 8014024 16028048 32056096