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21342048 = 2537213349
BaseRepresentation
bin101000101101…
…0011101100000
31111011021210020
41101122131200
520430421143
62041233440
7346255500
oct121323540
944137706
1021342048
1111057662
127192880
134563240
142b97a00
151d18883
hex145a760

21342048 has 144 divisors (see below), whose sum is σ = 70383600. Its totient is φ = 5612544.

The previous prime is 21342047. The next prime is 21342053. The reversal of 21342048 is 84024312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342047) 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 23 ways as a sum of consecutive naturals, for example, 60978 + ... + 61326.

It is an arithmetic number, because the mean of its divisors is an integer number (488775).

Almost surely, 221342048 is an apocalyptic number.

21342048 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 21342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35191800).

21342048 is an abundant number, since it is smaller than the sum of its proper divisors (49041552).

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

21342048 is a wasteful number, since it uses less digits than its factorization.

21342048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 21342048 is about 4619.7454475328. The cubic root of 21342048 is about 277.3822696765.

The spelling of 21342048 in words is "twenty-one million, three hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 349 364 392 416 546 588 624 637 672 698 728 784 1047 1092 1176 1248 1274 1396 1456 1568 1911 2094 2184 2352 2443 2548 2792 2912 3822 4188 4368 4537 4704 4886 5096 5584 7329 7644 8376 8736 9074 9772 10192 11168 13611 14658 15288 16752 17101 18148 19544 20384 27222 29316 30576 31759 33504 34202 36296 39088 51303 54444 58632 61152 63518 68404 72592 78176 95277 102606 108888 117264 127036 136808 145184 190554 205212 217776 222313 234528 254072 273616 381108 410424 435552 444626 508144 547232 666939 762216 820848 889252 1016288 1333878 1524432 1641696 1778504 2667756 3048864 3557008 5335512 7114016 10671024 21342048