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191038248 = 23321729181
BaseRepresentation
bin10110110001100…
…00001100101000
3111022110202012200
423120300030220
5342401210443
630542340200
74506540552
oct1330601450
9438422180
10191038248
1198921955
1253b8a660
133076a1ab
141b52c4d2
1511b88dd3
hexb630328

191038248 has 72 divisors (see below), whose sum is σ = 549680430. Its totient is φ = 59927040.

The previous prime is 191038247. The next prime is 191038249. The reversal of 191038248 is 842830191.

191038248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (191038247) and next prime (191038249).

It can be written as a sum of positive squares in 3 ways, for example, as 190937124 + 101124 = 13818^2 + 318^2 .

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

It is a super-2 number, since 2×1910382482 = 72991224397819008, which contains 22 as substring.

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 (191038241) 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 17 ways as a sum of consecutive naturals, for example, 16218 + ... + 25398.

Almost surely, 2191038248 is an apocalyptic number.

191038248 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 191038248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274840215).

191038248 is an abundant number, since it is smaller than the sum of its proper divisors (358642182).

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

191038248 is a wasteful number, since it uses less digits than its factorization.

191038248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 191038248 is about 13821.6586558922. The cubic root of 191038248 is about 575.9349608277.

The spelling of 191038248 in words is "one hundred ninety-one million, thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 9181 10404 18362 20808 27543 36724 55086 73448 82629 110172 156077 165258 220344 312154 330516 468231 624308 661032 936462 1248616 1404693 1872924 2653309 2809386 3745848 5306618 5618772 7959927 10613236 11237544 15919854 21226472 23879781 31839708 47759562 63679416 95519124 191038248