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19904896 = 271167211
BaseRepresentation
bin100101111101…
…1100110000000
31101110021101101
41023323212000
520043424041
61550344144
7331121524
oct113734600
941407341
1019904896
1110265930
1267bb054
13417c05b
142901d84
151b32b31
hex12fb980

19904896 has 64 divisors (see below), whose sum is σ = 44112960. Its totient is φ = 8870400.

The previous prime is 19904891. The next prime is 19904903. The reversal of 19904896 is 69840991.

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

It is a pancake number, because a pancake can be divided into 19904896 parts by 6309 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19904891) 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, 94231 + ... + 94441.

It is an arithmetic number, because the mean of its divisors is an integer number (689265).

Almost surely, 219904896 is an apocalyptic number.

19904896 is a gapful number since it is divisible by the number (16) 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 19904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22056480).

19904896 is an abundant number, since it is smaller than the sum of its proper divisors (24208064).

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

19904896 is a wasteful number, since it uses less digits than its factorization.

19904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 19904896 is about 4461.4903339579. The cubic root of 19904896 is about 271.0108245836.

It can be divided in two parts, 1990 and 4896, that added together give a palindrome (6886).

The spelling of 19904896 in words is "nineteen million, nine hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 211 268 352 422 536 704 737 844 1072 1408 1474 1688 2144 2321 2948 3376 4288 4642 5896 6752 8576 9284 11792 13504 14137 18568 23584 27008 28274 37136 47168 56548 74272 94336 113096 148544 155507 226192 297088 311014 452384 622028 904768 1244056 1809536 2488112 4976224 9952448 19904896