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18469152 = 2532134933
BaseRepresentation
bin100011001110…
…1000100100000
31021202022220200
41012131010200
514212003102
61455505200
7312661632
oct106350440
937668820
1018469152
11a475169
126228200
133a986c0
14264aa52
15194c51c
hex119d120

18469152 has 72 divisors (see below), whose sum is σ = 56573244. Its totient is φ = 5681664.

The previous prime is 18469151. The next prime is 18469177. The reversal of 18469152 is 25196481.

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 1527696 = 4116^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×184691522 = 682219151198208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18469151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1278 + ... + 6210.

Almost surely, 218469152 is an apocalyptic number.

18469152 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 18469152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28286622).

18469152 is an abundant number, since it is smaller than the sum of its proper divisors (38104092).

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

18469152 is a wasteful number, since it uses less digits than its factorization.

18469152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4951 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 18469152 is about 4297.5751302333. The cubic root of 18469152 is about 264.3315393911.

The spelling of 18469152 in words is "eighteen million, four hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 4933 9866 14799 19732 29598 39464 44397 59196 64129 78928 88794 118392 128258 157856 177588 192387 236784 256516 355176 384774 473568 513032 577161 710352 769548 1026064 1154322 1420704 1539096 2052128 2308644 3078192 4617288 6156384 9234576 18469152