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21241948 = 227132672
BaseRepresentation
bin101000100001…
…0000001011100
31110222012110211
41101002001130
520414220243
62035142204
7345360610
oct121020134
943865424
1021241948
1110a99432
127144964
134529800
142b6d340
151ce8d9d
hex144205c

21241948 has 54 divisors (see below), whose sum is σ = 46700136. Its totient is φ = 8277984.

The previous prime is 21241939. The next prime is 21241951. The reversal of 21241948 is 84914212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 317011 + ... + 317077.

Almost surely, 221241948 is an apocalyptic number.

21241948 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 21241948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350068).

21241948 is an abundant number, since it is smaller than the sum of its proper divisors (25458188).

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

21241948 is a wasteful number, since it uses less digits than its factorization.

21241948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 89 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 21241948 is about 4608.8987838745. The cubic root of 21241948 is about 276.9479238468.

The spelling of 21241948 in words is "twenty-one million, two hundred forty-one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 67 91 134 169 182 268 338 364 469 676 871 938 1183 1742 1876 2366 3484 4489 4732 6097 8978 11323 12194 17956 22646 24388 31423 45292 58357 62846 79261 116714 125692 158522 233428 317044 408499 758641 816998 1517282 1633996 3034564 5310487 10620974 21241948