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21489888 = 2537113283
BaseRepresentation
bin101000111111…
…0100011100000
31111102210120210
41101332203200
521000134023
62044334120
7350442510
oct121764340
944383523
1021489888
1111148742
127244340
1345b5614
142bd5840
151d47593
hex147e8e0

21489888 has 96 divisors (see below), whose sum is σ = 65270016. Its totient is φ = 6064128.

The previous prime is 21489883. The next prime is 21489901. The reversal of 21489888 is 88898412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21489883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75795 + ... + 76077.

It is an arithmetic number, because the mean of its divisors is an integer number (679896).

Almost surely, 221489888 is an apocalyptic number.

21489888 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 21489888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32635008).

21489888 is an abundant number, since it is smaller than the sum of its proper divisors (43780128).

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

21489888 is a wasteful number, since it uses less digits than its factorization.

21489888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its digits is 294912, while the sum is 48.

The square root of 21489888 is about 4635.7187145037. The cubic root of 21489888 is about 278.0212878131.

The spelling of 21489888 in words is "twenty-one million, four hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 113 168 224 226 283 336 339 452 566 672 678 791 849 904 1132 1356 1582 1698 1808 1981 2264 2373 2712 3164 3396 3616 3962 4528 4746 5424 5943 6328 6792 7924 9056 9492 10848 11886 12656 13584 15848 18984 23772 25312 27168 31696 31979 37968 47544 63392 63958 75936 95088 95937 127916 190176 191874 223853 255832 383748 447706 511664 671559 767496 895412 1023328 1343118 1534992 1790824 2686236 3069984 3581648 5372472 7163296 10744944 21489888