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18799144 = 2373131731
BaseRepresentation
bin100011110110…
…1101000101000
31022101002120121
41013231220220
514303033034
61510533024
7315535000
oct107555050
938332517
1018799144
11a680091
126367174
133b82970
1426d5000
1519b51b4
hex11eda28

18799144 has 128 divisors (see below), whose sum is σ = 48384000. Its totient is φ = 6773760.

The previous prime is 18799103. The next prime is 18799171. The reversal of 18799144 is 44199781.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18799144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606409 + ... + 606439.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 218799144 is an apocalyptic number.

18799144 is a gapful number since it is divisible by the number (14) 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 18799144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

18799144 is an abundant number, since it is smaller than the sum of its proper divisors (29584856).

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

18799144 is a wasteful number, since it uses less digits than its factorization.

18799144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its digits is 72576, while the sum is 43.

The square root of 18799144 is about 4335.7979657729. The cubic root of 18799144 is about 265.8965433315.

The spelling of 18799144 in words is "eighteen million, seven hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 31 34 49 52 56 62 68 91 98 104 119 124 136 182 196 217 221 238 248 343 364 392 403 434 442 476 527 637 686 728 806 833 868 884 952 1054 1274 1372 1519 1547 1612 1666 1736 1768 2108 2548 2744 2821 3038 3094 3224 3332 3689 4216 4459 5096 5642 5831 6076 6188 6664 6851 7378 8918 10633 10829 11284 11662 12152 12376 13702 14756 17836 19747 21266 21658 22568 23324 25823 27404 29512 35672 39494 42532 43316 46648 47957 51646 54808 75803 78988 85064 86632 95914 103292 138229 151606 157976 180761 191828 206584 276458 303212 335699 361522 383656 552916 606424 671398 723044 1105832 1342796 1446088 2349893 2685592 4699786 9399572 18799144