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21983968 = 25472311
BaseRepresentation
bin101001111011…
…1001011100000
31112100220100001
41103313023200
521111441333
62103105344
7354601126
oct123671340
945326301
1021983968
1111455976
127442254
134729486
142cc3916
151de3b7d
hex14f72e0

21983968 has 36 divisors (see below), whose sum is σ = 44363592. Its totient is φ = 10723520.

The previous prime is 21983959. The next prime is 21983971. The reversal of 21983968 is 86938912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70533 + ... + 70843.

It is an arithmetic number, because the mean of its divisors is an integer number (1232322).

Almost surely, 221983968 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 21983968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22181796).

21983968 is an abundant number, since it is smaller than the sum of its proper divisors (22379624).

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

21983968 is an equidigital number, since it uses as much as digits as its factorization.

21983968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 360 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 21983968 is about 4688.7064314158. The cubic root of 21983968 is about 280.1358524428.

The spelling of 21983968 in words is "twenty-one million, nine hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 94 188 311 376 622 752 1244 1504 2209 2488 4418 4976 8836 9952 14617 17672 29234 35344 58468 70688 116936 233872 467744 686999 1373998 2747996 5495992 10991984 21983968