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21269248 = 287111383
BaseRepresentation
bin101000100100…
…0101100000000
31111000120220221
41101020230000
520421103443
62035512424
7345533320
oct121105400
944016827
1021269248
11110079a0
127158714
134539070
142b79280
151d01eed
hex1448b00

21269248 has 144 divisors (see below), whose sum is σ = 57689856. Its totient is φ = 7557120.

The previous prime is 21269243. The next prime is 21269251. The reversal of 21269248 is 84296212.

It is not an unprimeable number, because it can be changed into a prime (21269243) 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 15 ways as a sum of consecutive naturals, for example, 256215 + ... + 256297.

It is an arithmetic number, because the mean of its divisors is an integer number (400624).

Almost surely, 221269248 is an apocalyptic number.

21269248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844928).

21269248 is an abundant number, since it is smaller than the sum of its proper divisors (36420608).

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

21269248 is a wasteful number, since it uses less digits than its factorization.

21269248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 21269248 is about 4611.8594948242. The cubic root of 21269248 is about 277.0665168882.

The spelling of 21269248 in words is "twenty-one million, two hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 83 88 91 104 112 128 143 154 166 176 182 208 224 256 286 308 332 352 364 416 448 572 581 616 664 704 728 832 896 913 1001 1079 1144 1162 1232 1328 1408 1456 1664 1792 1826 2002 2158 2288 2324 2464 2656 2816 2912 3328 3652 4004 4316 4576 4648 4928 5312 5824 6391 7304 7553 8008 8632 9152 9296 9856 10624 11648 11869 12782 14608 15106 16016 17264 18304 18592 19712 21248 23296 23738 25564 29216 30212 32032 34528 36608 37184 47476 51128 58432 60424 64064 69056 74368 83083 94952 102256 116864 120848 128128 138112 148736 166166 189904 204512 233728 241696 256256 276224 332332 379808 409024 483392 664664 759616 818048 966784 1329328 1519232 1636096 1933568 2658656 3038464 5317312 10634624 21269248