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21274848 = 2532761173
BaseRepresentation
bin101000100101…
…0000011100000
31111000212121100
41101022003200
520421243343
62035554400
7345555540
oct121120340
944025540
1021274848
1111011121
12715ba00
13453b78a
142b7b320
151d039d3
hex144a0e0

21274848 has 144 divisors (see below), whose sum is σ = 70682976. Its totient is φ = 5944320.

The previous prime is 21274831. The next prime is 21274861. The reversal of 21274848 is 84847212.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122890 + ... + 123062.

It is an arithmetic number, because the mean of its divisors is an integer number (490854).

Almost surely, 221274848 is an apocalyptic number.

21274848 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 21274848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35341488).

21274848 is an abundant number, since it is smaller than the sum of its proper divisors (49408128).

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

21274848 is a wasteful number, since it uses less digits than its factorization.

21274848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 21274848 is about 4612.4665852448. The cubic root of 21274848 is about 277.0908311210.

It can be divided in two parts, 21274 and 848, that added together give a palindrome (22122).

The spelling of 21274848 in words is "twenty-one million, two hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 72 84 96 112 122 126 144 168 173 183 224 244 252 288 336 346 366 427 488 504 519 549 672 692 732 854 976 1008 1038 1098 1211 1281 1384 1464 1557 1708 1952 2016 2076 2196 2422 2562 2768 2928 3114 3416 3633 3843 4152 4392 4844 5124 5536 5856 6228 6832 7266 7686 8304 8784 9688 10248 10553 10899 12456 13664 14532 15372 16608 17568 19376 20496 21106 21798 24912 29064 30744 31659 38752 40992 42212 43596 49824 58128 61488 63318 73871 84424 87192 94977 116256 122976 126636 147742 168848 174384 189954 221613 253272 295484 337696 348768 379908 443226 506544 590968 664839 759816 886452 1013088 1181936 1329678 1519632 1772904 2363872 2659356 3039264 3545808 5318712 7091616 10637424 21274848