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18248480 = 255176709
BaseRepresentation
bin100010110011…
…1001100100000
31021100010012122
41011213030200
514132422410
61451043412
7311052365
oct105471440
937303178
1018248480
11a334398
126140568
133a1c123
1425d046c
151906e55
hex1167320

18248480 has 48 divisors (see below), whose sum is σ = 45654840. Its totient is φ = 6868992.

The previous prime is 18248479. The next prime is 18248507. The reversal of 18248480 is 8484281.

It can be written as a sum of positive squares in 4 ways, for example, as 17272336 + 976144 = 4156^2 + 988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18248480.

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, 635 + ... + 6074.

Almost surely, 218248480 is an apocalyptic number.

18248480 is a gapful number since it is divisible by the number (10) 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 18248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22827420).

18248480 is an abundant number, since it is smaller than the sum of its proper divisors (27406360).

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

18248480 is a wasteful number, since it uses less digits than its factorization.

18248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 18248480 is about 4271.8239664106. The cubic root of 18248480 is about 263.2745618277.

The spelling of 18248480 in words is "eighteen million, two hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 6709 13418 26836 33545 53672 67090 107344 114053 134180 214688 228106 268360 456212 536720 570265 912424 1073440 1140530 1824848 2281060 3649696 4562120 9124240 18248480