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21752896 = 26112532
BaseRepresentation
bin101001011111…
…0110001000000
31111221011100211
41102332301000
521032043041
62054123504
7352616344
oct122766100
944834324
1021752896
1111308300
127350594
134678249
142c63624
151d9a481
hex14bec40

21752896 has 63 divisors (see below), whose sum is σ = 48358933. Its totient is φ = 9701120.

The previous prime is 21752893. The next prime is 21752921. The reversal of 21752896 is 69825712.

The square root of 21752896 is 4664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15681600 + 6071296 = 3960^2 + 2464^2 .

It is a Duffinian number.

Its product of digits (60480) is a multiple of the sum of its prime factors (140).

It is not an unprimeable number, because it can be changed into a prime (21752893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 410406 + ... + 410458.

Almost surely, 221752896 is an apocalyptic number.

21752896 is the 4664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21752896

21752896 is an abundant number, since it is smaller than the sum of its proper divisors (26606037).

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

21752896 is an equidigital number, since it uses as much as digits as its factorization.

21752896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 66 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The cubic root of 21752896 is about 279.1508970771.

The spelling of 21752896 in words is "twenty-one million, seven hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 121 176 212 242 352 424 484 583 704 848 968 1166 1696 1936 2332 2809 3392 3872 4664 5618 6413 7744 9328 11236 12826 18656 22472 25652 30899 37312 44944 51304 61798 89888 102608 123596 179776 205216 247192 339889 410432 494384 679778 988768 1359556 1977536 2719112 5438224 10876448 21752896