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18828384 = 2531783139
BaseRepresentation
bin100011111010…
…0110001100000
31022102120200120
41013310301200
514310002014
61511320240
7316016151
oct107646140
938376616
1018828384
11a6a0053
126380080
133b93073
142701928
1519bdba9
hex11f4c60

18828384 has 96 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 5793792.

The previous prime is 18828371. The next prime is 18828391. The reversal of 18828384 is 48382881.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135387 + ... + 135525.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 218828384 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 18828384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

18828384 is an abundant number, since it is smaller than the sum of its proper divisors (34514976).

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

18828384 is a wasteful number, since it uses less digits than its factorization.

18828384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 18828384 is about 4339.1685839571. The cubic root of 18828384 is about 266.0343295245.

The spelling of 18828384 in words is "eighteen million, eight hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 139 166 204 249 272 278 332 408 417 498 544 556 664 816 834 996 1112 1328 1411 1632 1668 1992 2224 2363 2656 2822 3336 3984 4233 4448 4726 5644 6672 7089 7968 8466 9452 11288 11537 13344 14178 16932 18904 22576 23074 28356 33864 34611 37808 45152 46148 56712 67728 69222 75616 92296 113424 135456 138444 184592 196129 226848 276888 369184 392258 553776 588387 784516 1107552 1176774 1569032 2353548 3138064 4707096 6276128 9414192 18828384