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21381248 = 2773487
BaseRepresentation
bin101000110010…
…0000010000000
31111020021120002
41101210002000
520433144443
62042135132
7346511000
oct121440200
944207502
1021381248
1111084059
1271b14a8
134578035
142ba8000
151d252b8
hex1464080

21381248 has 64 divisors (see below), whose sum is σ = 49776000. Its totient is φ = 9144576.

The previous prime is 21381211. The next prime is 21381259. The reversal of 21381248 is 84218312.

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 21381248.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43661 + ... + 44147.

It is an arithmetic number, because the mean of its divisors is an integer number (777750).

Almost surely, 221381248 is an apocalyptic number.

21381248 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 21381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24888000).

21381248 is an abundant number, since it is smaller than the sum of its proper divisors (28394752).

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

21381248 is an frugal number, since it uses more digits than its factorization.

21381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 496 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 21381248 is about 4623.9861591488. The cubic root of 21381248 is about 277.5519930715.

The spelling of 21381248 in words is "twenty-one million, three hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 487 686 784 896 974 1372 1568 1948 2744 3136 3409 3896 5488 6272 6818 7792 10976 13636 15584 21952 23863 27272 31168 43904 47726 54544 62336 95452 109088 167041 190904 218176 334082 381808 436352 668164 763616 1336328 1527232 2672656 3054464 5345312 10690624 21381248