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18389952 = 263274561
BaseRepresentation
bin100011000100…
…1101111000000
31021121022021100
41012021233000
514201434302
61454054400
7312212010
oct106115700
937538240
1018389952
11a420709
1261aa400
133a6b639
142629c40
151933d1c
hex1189bc0

18389952 has 84 divisors (see below), whose sum is σ = 60254896. Its totient is φ = 5253120.

The previous prime is 18389933. The next prime is 18389953. The reversal of 18389952 is 25998381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 18389898 and 18389907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18389953) 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, 1752 + ... + 6312.

Almost surely, 218389952 is an apocalyptic number.

18389952 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 18389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30127448).

18389952 is an abundant number, since it is smaller than the sum of its proper divisors (41864944).

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

18389952 is a wasteful number, since it uses less digits than its factorization.

18389952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586 (or 4573 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 18389952 is about 4288.3507319248. The cubic root of 18389952 is about 263.9531597339.

The spelling of 18389952 in words is "eighteen million, three hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 4561 9122 13683 18244 27366 31927 36488 41049 54732 63854 72976 82098 95781 109464 127708 145952 164196 191562 218928 255416 287343 291904 328392 383124 437856 510832 574686 656784 766248 875712 1021664 1149372 1313568 1532496 2043328 2298744 2627136 3064992 4597488 6129984 9194976 18389952