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21629312 = 27374567
BaseRepresentation
bin101001010000…
…0100110000000
31111200212211122
41102200212000
521014114222
62051331412
7351563135
oct122404600
944625748
1021629312
1111233471
1272b0b68
134633c13
142c3058c
151d73a42
hex14a0980

21629312 has 32 divisors (see below), whose sum is σ = 44263920. Its totient is φ = 10520064.

The previous prime is 21629303. The next prime is 21629327. The reversal of 21629312 is 21392612.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2453 + ... + 7019.

Almost surely, 221629312 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 21629312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22131960).

21629312 is an abundant number, since it is smaller than the sum of its proper divisors (22634608).

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

21629312 is an equidigital number, since it uses as much as digits as its factorization.

21629312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4606 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 21629312 is about 4650.7324154374. The cubic root of 21629312 is about 278.6212492341.

The spelling of 21629312 in words is "twenty-one million, six hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4567 4736 9134 18268 36536 73072 146144 168979 292288 337958 584576 675916 1351832 2703664 5407328 10814656 21629312