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21442848 = 2537171877
BaseRepresentation
bin101000111001…
…1000100100000
31111100102001120
41101303010200
520442132343
62043332240
7350155410
oct121630440
944312046
1021442848
1111116369
127221080
13459a09b
142bc2640
151d38683
hex1473120

21442848 has 96 divisors (see below), whose sum is σ = 68148864. Its totient is φ = 5763072.

The previous prime is 21442819. The next prime is 21442871. The reversal of 21442848 is 84824412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×214428482 = 919591460702208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10486 + ... + 12362.

It is an arithmetic number, because the mean of its divisors is an integer number (709884).

Almost surely, 221442848 is an apocalyptic number.

21442848 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 21442848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34074432).

21442848 is an abundant number, since it is smaller than the sum of its proper divisors (46706016).

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

21442848 is a wasteful number, since it uses less digits than its factorization.

21442848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1906 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 21442848 is about 4630.6422880633. The cubic root of 21442848 is about 277.8182826386.

The spelling of 21442848 in words is "twenty-one million, four hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1877 1904 2856 3754 3808 5631 5712 7508 11262 11424 13139 15016 22524 26278 30032 31909 39417 45048 52556 60064 63818 78834 90096 95727 105112 127636 157668 180192 191454 210224 223363 255272 315336 382908 420448 446726 510544 630672 670089 765816 893452 1021088 1261344 1340178 1531632 1786904 2680356 3063264 3573808 5360712 7147616 10721424 21442848