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20201248 = 256179131
BaseRepresentation
bin100110100001…
…1111100100000
31102000022220101
41031003330200
520132414443
62000552144
7333464524
oct115037440
942008811
1020201248
1110448551
126922654
134253c02
14297bd84
151b9084d
hex1343f20

20201248 has 48 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 9734400.

The previous prime is 20201239. The next prime is 20201249. The reversal of 20201248 is 84210202.

It is not an unprimeable number, because it can be changed into a prime (20201249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154143 + ... + 154273.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 220201248 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 20201248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

20201248 is an abundant number, since it is smaller than the sum of its proper divisors (21046112).

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

20201248 is a wasteful number, since it uses less digits than its factorization.

20201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 20201248 is about 4494.5798468822. The cubic root of 20201248 is about 272.3491767010.

It can be divided in two parts, 20201 and 248, that added together give a square (20449 = 1432).

The spelling of 20201248 in words is "twenty million, two hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 79 122 131 158 244 262 316 488 524 632 976 1048 1264 1952 2096 2528 4192 4819 7991 9638 10349 15982 19276 20698 31964 38552 41396 63928 77104 82792 127856 154208 165584 255712 331168 631289 1262578 2525156 5050312 10100624 20201248