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18939648 = 283713271
BaseRepresentation
bin100100000111…
…1111100000000
31022122020022110
41020033330000
514322032043
61513535320
7316661430
oct110177400
938566273
1018939648
11a766702
126414540
133c018c0
1427302c0
1519e1b33
hex120ff00

18939648 has 144 divisors (see below), whose sum is σ = 62268416. Its totient is φ = 4976640.

The previous prime is 18939647. The next prime is 18939653. The reversal of 18939648 is 84693981.

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

It is a junction number, because it is equal to n+sod(n) for n = 18939597 and 18939606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18939643) 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, 69753 + ... + 70023.

Almost surely, 218939648 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 18939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31134208).

18939648 is an abundant number, since it is smaller than the sum of its proper divisors (43328768).

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

18939648 is a wasteful number, since it uses less digits than its factorization.

18939648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 18939648 is about 4351.9705881359. The cubic root of 18939648 is about 266.5573329569.

The spelling of 18939648 in words is "eighteen million, nine hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 271 273 312 336 364 384 416 448 542 546 624 672 728 768 813 832 896 1084 1092 1248 1344 1456 1626 1664 1792 1897 2168 2184 2496 2688 2912 3252 3328 3523 3794 4336 4368 4992 5376 5691 5824 6504 7046 7588 8672 8736 9984 10569 11382 11648 13008 14092 15176 17344 17472 21138 22764 23296 24661 26016 28184 30352 34688 34944 42276 45528 49322 52032 56368 60704 69376 69888 73983 84552 91056 98644 104064 112736 121408 147966 169104 182112 197288 208128 225472 242816 295932 338208 364224 394576 450944 485632 591864 676416 728448 789152 901888 1183728 1352832 1456896 1578304 2367456 2705664 3156608 4734912 6313216 9469824 18939648