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18950272 = 271143313
BaseRepresentation
bin100100001001…
…0100010000000
31022122202212221
41020102202000
514322402042
61514100424
7320034415
oct110224200
938582787
1018950272
11a773690
12641a714
133c066a3
14273410c
1519e4d67
hex1212880

18950272 has 64 divisors (see below), whose sum is σ = 42276960. Its totient is φ = 8386560.

The previous prime is 18950237. The next prime is 18950273. The reversal of 18950272 is 27205981.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×189502722 = 718225617747968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18950273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60388 + ... + 60700.

Almost surely, 218950272 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 18950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138480).

18950272 is an abundant number, since it is smaller than the sum of its proper divisors (23326688).

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

18950272 is a wasteful number, since it uses less digits than its factorization.

18950272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 18950272 is about 4353.1910134980. The cubic root of 18950272 is about 266.6071645019.

The spelling of 18950272 in words is "eighteen million, nine hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 313 344 352 473 626 688 704 946 1252 1376 1408 1892 2504 2752 3443 3784 5008 5504 6886 7568 10016 13459 13772 15136 20032 26918 27544 30272 40064 53836 55088 60544 107672 110176 148049 215344 220352 296098 430688 440704 592196 861376 1184392 1722752 2368784 4737568 9475136 18950272