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18483072 = 273127379
BaseRepresentation
bin100011010000…
…0011110000000
31021210001000020
41012200132000
514212424242
61500053440
7313050336
oct106403600
937701006
1018483072
11a484673
126234280
133aa1b3a
142651b56
1519516ec
hex11a0780

18483072 has 64 divisors (see below), whose sum is σ = 49612800. Its totient is φ = 6096384.

The previous prime is 18483043. The next prime is 18483083. The reversal of 18483072 is 27038481.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48579 + ... + 48957.

It is an arithmetic number, because the mean of its divisors is an integer number (775200).

Almost surely, 218483072 is an apocalyptic number.

18483072 is a gapful number since it is divisible by the number (12) 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 18483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24806400).

18483072 is an abundant number, since it is smaller than the sum of its proper divisors (31129728).

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

18483072 is a wasteful number, since it uses less digits than its factorization.

18483072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 18483072 is about 4299.1943431299. The cubic root of 18483072 is about 264.3979306547.

The spelling of 18483072 in words is "eighteen million, four hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 379 381 384 508 758 762 1016 1137 1516 1524 2032 2274 3032 3048 4064 4548 6064 6096 8128 9096 12128 12192 16256 18192 24256 24384 36384 48133 48512 48768 72768 96266 144399 145536 192532 288798 385064 577596 770128 1155192 1540256 2310384 3080512 4620768 6161024 9241536 18483072