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18874944 = 263411331
BaseRepresentation
bin100100000000…
…0001001000000
31022111221120000
41020000021000
514312444234
61512320000
7316301664
oct110001100
938457500
1018874944
11a722030
1263a3000
133bab30a
1427148a4
1519cc899
hex1200240

18874944 has 140 divisors (see below), whose sum is σ = 61222128. Its totient is φ = 5702400.

The previous prime is 18874897. The next prime is 18874957. The reversal of 18874944 is 44947881.

It is a super-2 number, since 2×188749442 = 712527022006272, which contains 22 as substring.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 18874944.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56859 + ... + 57189.

Almost surely, 218874944 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 18874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30611064).

18874944 is an abundant number, since it is smaller than the sum of its proper divisors (42347184).

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

18874944 is a wasteful number, since it uses less digits than its factorization.

18874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 18874944 is about 4344.5303543651. The cubic root of 18874944 is about 266.2534377656.

The spelling of 18874944 in words is "eighteen million, eight hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 331 352 396 432 528 576 594 648 662 704 792 864 891 993 1056 1188 1296 1324 1584 1728 1782 1986 2112 2376 2592 2648 2979 3168 3564 3641 3972 4752 5184 5296 5958 6336 7128 7282 7944 8937 9504 10592 10923 11916 14256 14564 15888 17874 19008 21184 21846 23832 26811 28512 29128 31776 32769 35748 43692 47664 53622 57024 58256 63552 65538 71496 87384 95328 98307 107244 116512 131076 142992 174768 190656 196614 214488 233024 262152 285984 294921 349536 393228 428976 524304 571968 589842 699072 786456 857952 1048608 1179684 1572912 1715904 2097216 2359368 3145824 4718736 6291648 9437472 18874944