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21871248 = 2437217547
BaseRepresentation
bin101001101101…
…1101010010000
31112011011201020
41103123222100
521044334443
62100435440
7353621400
oct123335220
945134636
1021871248
1111389213
1273a8b80
1346ba089
142c94800
151dc0583
hex14dba90

21871248 has 120 divisors (see below), whose sum is σ = 69718752. Its totient is φ = 5870592.

The previous prime is 21871243. The next prime is 21871253. The reversal of 21871248 is 84217812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21871243) and next prime (21871253).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21871243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39711 + ... + 40257.

Almost surely, 221871248 is an apocalyptic number.

21871248 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 21871248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34859376).

21871248 is an abundant number, since it is smaller than the sum of its proper divisors (47847504).

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

21871248 is a wasteful number, since it uses less digits than its factorization.

21871248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 576 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 21871248 is about 4676.6706105947. The cubic root of 21871248 is about 279.6562448121.

The spelling of 21871248 in words is "twenty-one million, eight hundred seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 547 588 714 784 816 833 952 1094 1176 1428 1641 1666 1904 2188 2352 2499 2856 3282 3332 3829 4376 4998 5712 6564 6664 7658 8752 9299 9996 11487 13128 13328 15316 18598 19992 22974 26256 26803 27897 30632 37196 39984 45948 53606 55794 61264 65093 74392 80409 91896 107212 111588 130186 148784 160818 183792 195279 214424 223176 260372 321636 390558 428848 446352 455651 520744 643272 781116 911302 1041488 1286544 1366953 1562232 1822604 2733906 3124464 3645208 5467812 7290416 10935624 21871248