Search a number
-
+
190249488 = 243211139239
BaseRepresentation
bin10110101011011…
…11101000010000
3111020222200020100
423111233220100
5342200440423
630513412400
74500044142
oct1325575020
9436880210
10190249488
1198433290
125386a100
1330552180
141b3a4c92
1511a80343
hexb56fa10

190249488 has 120 divisors (see below), whose sum is σ = 625584960. Its totient is φ = 53210880.

The previous prime is 190249487. The next prime is 190249513. The reversal of 190249488 is 884942091.

190249488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (190249481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15973 + ... + 25211.

It is an arithmetic number, because the mean of its divisors is an integer number (5213208).

Almost surely, 2190249488 is an apocalyptic number.

190249488 is a gapful number since it is divisible by the number (18) 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 190249488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312792480).

190249488 is an abundant number, since it is smaller than the sum of its proper divisors (435335472).

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

190249488 is a wasteful number, since it uses less digits than its factorization.

190249488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9277 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 190249488 is about 13793.0956641357. The cubic root of 190249488 is about 575.1412260541.

The spelling of 190249488 in words is "one hundred ninety million, two hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 9239 10296 18478 20592 27717 36956 55434 73912 83151 101629 110868 120107 147824 166302 203258 221736 240214 304887 332604 360321 406516 443472 480428 609774 665208 720642 813032 914661 960856 1080963 1219548 1321177 1330416 1441284 1626064 1829322 1921712 2161926 2439096 2642354 2882568 3658644 3963531 4323852 4878192 5284708 5765136 7317288 7927062 8647704 10569416 11890593 14634576 15854124 17295408 21138832 23781186 31708248 47562372 63416496 95124744 190249488