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21214848 = 273101547
BaseRepresentation
bin101000011101…
…1011010000000
31110220211022010
41100323122000
520412333343
62034412520
7345215604
oct120733200
943824263
1021214848
1110a80036
127131140
13451a385
142b63504
151ce0d33
hex143b680

21214848 has 64 divisors (see below), whose sum is σ = 57013920. Its totient is φ = 6988800.

The previous prime is 21214847. The next prime is 21214859. The reversal of 21214848 is 84841212.

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

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

It is not an unprimeable number, because it can be changed into a prime (21214847) 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, 38511 + ... + 39057.

Almost surely, 221214848 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 21214848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28506960).

21214848 is an abundant number, since it is smaller than the sum of its proper divisors (35799072).

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

21214848 is a wasteful number, since it uses less digits than its factorization.

21214848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 21214848 is about 4605.9578808322. The cubic root of 21214848 is about 276.8300990803.

The spelling of 21214848 in words is "twenty-one million, two hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 547 606 808 1094 1212 1616 1641 2188 2424 3232 3282 4376 4848 6464 6564 8752 9696 12928 13128 17504 19392 26256 35008 38784 52512 55247 70016 105024 110494 165741 210048 220988 331482 441976 662964 883952 1325928 1767904 2651856 3535808 5303712 7071616 10607424 21214848