Search a number
-
+
19089252 = 22327135827
BaseRepresentation
bin100100011010…
…0011101100100
31022220211112100
41020310131210
514341324002
61521052100
7321153540
oct110643544
938824470
1019089252
11a859046
126487030
133c54a20
14276ca20
151a2111c
hex1234764

19089252 has 72 divisors (see below), whose sum is σ = 59398976. Its totient is φ = 5033664.

The previous prime is 19089251. The next prime is 19089289. The reversal of 19089252 is 25298091.

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 (19089251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363 + ... + 6189.

Almost surely, 219089252 is an apocalyptic number.

19089252 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 19089252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29699488).

19089252 is an abundant number, since it is smaller than the sum of its proper divisors (40309724).

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

19089252 is a wasteful number, since it uses less digits than its factorization.

19089252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 19089252 is about 4369.1248551626. The cubic root of 19089252 is about 267.2573372179.

The spelling of 19089252 in words is "nineteen million, eighty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 5827 11654 17481 23308 34962 40789 52443 69924 75751 81578 104886 122367 151502 163156 209772 227253 244734 303004 367101 454506 489468 530257 681759 734202 909012 1060514 1363518 1468404 1590771 2121028 2727036 3181542 4772313 6363084 9544626 19089252