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21382752 = 253192617
BaseRepresentation
bin101000110010…
…0011001100000
31111020100121210
41101210121200
520433222002
62042150120
7346515246
oct121443140
944210553
1021382752
11110851a6
1271b2340
134578921
142ba8796
151d2596c
hex1464660

21382752 has 72 divisors (see below), whose sum is σ = 59335416. Its totient is φ = 6741504.

The previous prime is 21382747. The next prime is 21382759. The reversal of 21382752 is 25728312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21382759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34348 + ... + 34964.

It is an arithmetic number, because the mean of its divisors is an integer number (824103).

Almost surely, 221382752 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 21382752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29667708).

21382752 is an abundant number, since it is smaller than the sum of its proper divisors (37952664).

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

21382752 is a wasteful number, since it uses less digits than its factorization.

21382752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 641 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 21382752 is about 4624.1487865336. The cubic root of 21382752 is about 277.5585007741.

The spelling of 21382752 in words is "twenty-one million, three hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 361 456 608 617 722 912 1083 1234 1444 1824 1851 2166 2468 2888 3702 4332 4936 5776 7404 8664 9872 11552 11723 14808 17328 19744 23446 29616 34656 35169 46892 59232 70338 93784 140676 187568 222737 281352 375136 445474 562704 668211 890948 1125408 1336422 1781896 2672844 3563792 5345688 7127584 10691376 21382752