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18109952 = 29731163
BaseRepresentation
bin100010100010…
…1011000000000
31021002002011222
41011011120000
514114004302
61444054212
7306634460
oct105053000
937062158
1018109952
11a24a303
126094368
1339a1063
142595ba0
1518cada2
hex1145600

18109952 has 80 divisors (see below), whose sum is σ = 42949632. Its totient is φ = 7464960.

The previous prime is 18109951. The next prime is 18109961. The reversal of 18109952 is 25990181.

It is a super-2 number, since 2×181099522 = 655940722884608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18109951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111023 + ... + 111185.

Almost surely, 218109952 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 18109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21474816).

18109952 is an abundant number, since it is smaller than the sum of its proper divisors (24839680).

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

18109952 is an equidigital number, since it uses as much as digits as its factorization.

18109952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 18109952 is about 4255.5789265387. The cubic root of 18109952 is about 262.6066783339.

The spelling of 18109952 in words is "eighteen million, one hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 163 217 224 248 256 326 434 448 496 512 652 868 896 992 1141 1304 1736 1792 1984 2282 2608 3472 3584 3968 4564 5053 5216 6944 7936 9128 10106 10432 13888 15872 18256 20212 20864 27776 35371 36512 40424 41728 55552 70742 73024 80848 83456 111104 141484 146048 161696 282968 292096 323392 565936 584192 646784 1131872 1293568 2263744 2587136 4527488 9054976 18109952