Search a number
-
+
191041592 = 23723179199
BaseRepresentation
bin10110110001100…
…01000000111000
3111022110220210112
423120301000320
5342401312332
630542403452
74506553400
oct1330610070
9438426715
10191041592
1198924415
1253b90588
133076b881
141b52d800
1511b89db2
hexb631038

191041592 has 96 divisors (see below), whose sum is σ = 437760000. Its totient is φ = 77837760.

The previous prime is 191041577. The next prime is 191041607. The reversal of 191041592 is 295140191.

It is an interprime number because it is at equal distance from previous prime (191041577) and next prime (191041607).

It is a congruent number.

It is an unprimeable number.

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, 959909 + ... + 960107.

It is an arithmetic number, because the mean of its divisors is an integer number (4560000).

Almost surely, 2191041592 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 191041592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218880000).

191041592 is an abundant number, since it is smaller than the sum of its proper divisors (246718408).

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

191041592 is a wasteful number, since it uses less digits than its factorization.

191041592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 191041592 is about 13821.7796249253. The cubic root of 191041592 is about 575.9383212634.

The spelling of 191041592 in words is "one hundred ninety-one million, forty-one thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 79 98 124 158 196 199 217 248 316 392 398 434 553 632 796 868 1106 1393 1519 1592 1736 2212 2449 2786 3038 3871 4424 4898 5572 6076 6169 7742 9751 9796 11144 12152 12338 15484 15721 17143 19502 19592 24676 30968 31442 34286 39004 43183 49352 62884 68572 78008 86366 110047 120001 125768 137144 172732 220094 240002 302281 345464 440188 480004 487351 604562 770329 880376 960008 974702 1209124 1540658 1949404 2418248 3081316 3411457 3898808 6162632 6822914 13645828 23880199 27291656 47760398 95520796 191041592