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21040448 = 261131319
BaseRepresentation
bin101000001000…
…0110101000000
31110120222001212
41100100311000
520341243243
62030545252
7343561262
oct120206500
943528055
1021040448
1110971000
127068228
134488b90
142b19b32
151ca9318
hex1410d40

21040448 has 112 divisors (see below), whose sum is σ = 52059840. Its totient is φ = 8363520.

The previous prime is 21040447. The next prime is 21040463. The reversal of 21040448 is 84404012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21040447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107383 + ... + 1107401.

It is an arithmetic number, because the mean of its divisors is an integer number (464820).

Almost surely, 221040448 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 21040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26029920).

21040448 is an abundant number, since it is smaller than the sum of its proper divisors (31019392).

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

21040448 is a wasteful number, since it uses less digits than its factorization.

21040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 21040448 is about 4586.9868105326. The cubic root of 21040448 is about 276.0694357261.

The spelling of 21040448 in words is "twenty-one million, forty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 76 88 104 121 143 152 176 208 209 242 247 286 304 352 416 418 484 494 572 608 704 832 836 968 988 1144 1216 1331 1573 1672 1936 1976 2288 2299 2662 2717 3146 3344 3872 3952 4576 4598 5324 5434 6292 6688 7744 7904 9152 9196 10648 10868 12584 13376 15808 17303 18392 21296 21736 25168 25289 29887 34606 36784 42592 43472 50336 50578 59774 69212 73568 85184 86944 100672 101156 119548 138424 147136 173888 202312 239096 276848 328757 404624 478192 553696 657514 809248 956384 1107392 1315028 1618496 1912768 2630056 5260112 10520224 21040448