Search a number
-
+
191327248 = 24717223257
BaseRepresentation
bin10110110011101…
…10110000010000
3111100000102122101
423121312300100
5342434432443
630552450144
74512153250
oct1331666020
9440012571
10191327248
1198aa9aa2
12540a9954
133083b8b8
141b5a5960
1511be484d
hexb676c10

191327248 has 120 divisors (see below), whose sum is σ = 471434112. Its totient is φ = 73531392.

The previous prime is 191327243. The next prime is 191327261. The reversal of 191327248 is 842723191.

It is a super-2 number, since 2×1913272482 = 73212231654507008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (191327243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744336 + ... + 744592.

Almost surely, 2191327248 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 191327248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235717056).

191327248 is an abundant number, since it is smaller than the sum of its proper divisors (280106864).

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

191327248 is a wasteful number, since it uses less digits than its factorization.

191327248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 191327248 is about 13832.1093113090. The cubic root of 191327248 is about 576.2252366300.

It can be divided in two parts, 1913 and 27248, that added together give a triangular number (29161 = T241).

The spelling of 191327248 in words is "one hundred ninety-one million, three hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 257 272 289 322 368 391 476 514 578 644 782 952 1028 1156 1288 1564 1799 1904 2023 2056 2312 2576 2737 3128 3598 4046 4112 4369 4624 5474 5911 6256 6647 7196 8092 8738 10948 11822 13294 14392 16184 17476 21896 23644 26588 28784 30583 32368 34952 41377 43792 46529 47288 53176 61166 69904 74273 82754 93058 94576 100487 106352 122332 148546 165508 186116 200974 244664 297092 331016 372232 401948 489328 519911 594184 662032 703409 744464 803896 1039822 1188368 1406818 1607792 1708279 2079644 2813636 3416558 4159288 5627272 6833116 8318576 11254544 11957953 13666232 23915906 27332464 47831812 95663624 191327248