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21538304 = 29233159
BaseRepresentation
bin101001000101…
…0011000000000
31111112020222222
41102022120000
521003211204
62045350212
7351033614
oct122123000
944466888
1021538304
1111181057
127268368
134601678
142c09344
151d56abe
hex148a600

21538304 has 80 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 9799680.

The previous prime is 21538301. The next prime is 21538339. The reversal of 21538304 is 40383512.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21538301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 365027 + ... + 365085.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 221538304 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 21538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

21538304 is an abundant number, since it is smaller than the sum of its proper divisors (25601536).

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

21538304 is an equidigital number, since it uses as much as digits as its factorization.

21538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 21538304 is about 4640.9378362568. The cubic root of 21538304 is about 278.2299221017.

The spelling of 21538304 in words is "twenty-one million, five hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 23 31 32 46 59 62 64 92 118 124 128 184 236 248 256 368 472 496 512 713 736 944 992 1357 1426 1472 1829 1888 1984 2714 2852 2944 3658 3776 3968 5428 5704 5888 7316 7552 7936 10856 11408 11776 14632 15104 15872 21712 22816 29264 30208 42067 43424 45632 58528 84134 86848 91264 117056 168268 173696 182528 234112 336536 347392 365056 468224 673072 694784 936448 1346144 2692288 5384576 10769152 21538304