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18949536 = 2532193463
BaseRepresentation
bin100100001001…
…0010110100000
31022122201212200
41020102112200
514322341121
61514053200
7320032314
oct110222640
938581780
1018949536
11a773081
12641a200
133c06258
142733b44
1519e4a26
hex12125a0

18949536 has 72 divisors (see below), whose sum is σ = 56740320. Its totient is φ = 5982336.

The previous prime is 18949531. The next prime is 18949537. The reversal of 18949536 is 63594981.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 18949491 and 18949500.

It is not an unprimeable number, because it can be changed into a prime (18949531) 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, 3741 + ... + 7203.

It is an arithmetic number, because the mean of its divisors is an integer number (788060).

Almost surely, 218949536 is an apocalyptic number.

18949536 is a gapful number since it is divisible by the number (16) 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 18949536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28370160).

18949536 is an abundant number, since it is smaller than the sum of its proper divisors (37790784).

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

18949536 is a wasteful number, since it uses less digits than its factorization.

18949536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3487 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 18949536 is about 4353.1064769886. The cubic root of 18949536 is about 266.6037129170.

The spelling of 18949536 in words is "eighteen million, nine hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 3463 5472 6926 10389 13852 20778 27704 31167 41556 55408 62334 65797 83112 110816 124668 131594 166224 197391 249336 263188 332448 394782 498672 526376 592173 789564 997344 1052752 1184346 1579128 2105504 2368692 3158256 4737384 6316512 9474768 18949536