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21797248 = 2711113137
BaseRepresentation
bin101001100100…
…1100110000000
31112000102012111
41103021212000
521040002443
62055105104
7353162554
oct123114600
945012174
1021797248
1111338660
127372194
1346924a5
142c75864
151da869d
hex14c9980

21797248 has 64 divisors (see below), whose sum is σ = 48139920. Its totient is φ = 9748480.

The previous prime is 21797233. The next prime is 21797249. The reversal of 21797248 is 84279712.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 21797248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21797249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159036 + ... + 159172.

Almost surely, 221797248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24069960).

21797248 is an abundant number, since it is smaller than the sum of its proper divisors (26342672).

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

21797248 is a wasteful number, since it uses less digits than its factorization.

21797248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 21797248 is about 4668.7522958495. The cubic root of 21797248 is about 279.3404886243.

The spelling of 21797248 in words is "twenty-one million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 137 176 226 274 352 452 548 704 904 1096 1243 1408 1507 1808 2192 2486 3014 3616 4384 4972 6028 7232 8768 9944 12056 14464 15481 17536 19888 24112 30962 39776 48224 61924 79552 96448 123848 159104 170291 192896 247696 340582 495392 681164 990784 1362328 1981568 2724656 5449312 10898624 21797248