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18906048 = 26347521
BaseRepresentation
bin100100000011…
…1101111000000
31022120112020000
41020013233000
514314443143
61513120000
7316461450
oct110075700
938515200
1018906048
11a743437
1263b9000
133bbc515
142721d60
1519d6bd3
hex1207bc0

18906048 has 140 divisors (see below), whose sum is σ = 64172592. Its totient is φ = 5391360.

The previous prime is 18906031. The next prime is 18906049. The reversal of 18906048 is 84060981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18906049) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36028 + ... + 36548.

Almost surely, 218906048 is an apocalyptic number.

18906048 is a gapful number since it is divisible by the number (18) 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 18906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32086296).

18906048 is an abundant number, since it is smaller than the sum of its proper divisors (45266544).

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

18906048 is an equidigital number, since it uses as much as digits as its factorization.

18906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18906048 is about 4348.1085543027. The cubic root of 18906048 is about 266.3996104207.

The spelling of 18906048 in words is "eighteen million, nine hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 521 567 576 648 672 756 864 1008 1042 1134 1296 1344 1512 1563 1728 2016 2084 2268 2592 3024 3126 3647 4032 4168 4536 4689 5184 6048 6252 7294 8336 9072 9378 10941 12096 12504 14067 14588 16672 18144 18756 21882 25008 28134 29176 32823 33344 36288 37512 42201 43764 50016 56268 58352 65646 75024 84402 87528 98469 100032 112536 116704 131292 150048 168804 175056 196938 225072 233408 262584 295407 300096 337608 350112 393876 450144 525168 590814 675216 700224 787752 900288 1050336 1181628 1350432 1575504 2100672 2363256 2700864 3151008 4726512 6302016 9453024 18906048