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21453408 = 2532163457
BaseRepresentation
bin101000111010…
…1101001100000
31111100221112200
41101311221200
520443002113
62043453200
7350231244
oct121655140
944327480
1021453408
1111123299
127227200
1345a1b32
142bc6424
151d3b873
hex1475a60

21453408 has 72 divisors (see below), whose sum is σ = 61516728. Its totient is φ = 7091712.

The previous prime is 21453401. The next prime is 21453427. The reversal of 21453408 is 80435412.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21453401) 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 11 ways as a sum of consecutive naturals, for example, 46716 + ... + 47172.

It is an arithmetic number, because the mean of its divisors is an integer number (854399).

Almost surely, 221453408 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 21453408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30758364).

21453408 is an abundant number, since it is smaller than the sum of its proper divisors (40063320).

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

21453408 is a wasteful number, since it uses less digits than its factorization.

21453408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 21453408 is about 4631.7823783075. The cubic root of 21453408 is about 277.8638810528.

The spelling of 21453408 in words is "twenty-one million, four hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 457 489 652 914 978 1304 1371 1467 1828 1956 2608 2742 2934 3656 3912 4113 5216 5484 5868 7312 7824 8226 10968 11736 14624 15648 16452 21936 23472 32904 43872 46944 65808 74491 131616 148982 223473 297964 446946 595928 670419 893892 1191856 1340838 1787784 2383712 2681676 3575568 5363352 7151136 10726704 21453408