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191442984 = 23317232887
BaseRepresentation
bin10110110100100…
…11000000101000
3111100020022101220
423122103000220
5343002133414
630555142040
74513144545
oct1332230050
9440208356
10191442984
1199078a47
1254144920
133087c495
141b5d5bcc
1511c18ca9
hexb693028

191442984 has 96 divisors (see below), whose sum is σ = 530349120. Its totient is φ = 57384448.

The previous prime is 191442959. The next prime is 191442989. The reversal of 191442984 is 489244191.

It is a happy number.

It is a super-2 number, since 2×1914429842 = 73300832245648512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (191442989) 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, 215389 + ... + 216275.

It is an arithmetic number, because the mean of its divisors is an integer number (5524470).

Almost surely, 2191442984 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 191442984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265174560).

191442984 is an abundant number, since it is smaller than the sum of its proper divisors (338906136).

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

191442984 is a wasteful number, since it uses less digits than its factorization.

191442984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 932 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 191442984 is about 13836.2922779190. The cubic root of 191442984 is about 576.3414015813.

The spelling of 191442984 in words is "one hundred ninety-one million, four hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 529 552 782 887 1058 1173 1564 1587 1774 2116 2346 2661 3128 3174 3548 4232 4692 5322 6348 7096 8993 9384 10644 12696 15079 17986 20401 21288 26979 30158 35972 40802 45237 53958 60316 61203 71944 81604 90474 107916 120632 122406 163208 180948 215832 244812 346817 361896 469223 489624 693634 938446 1040451 1387268 1407669 1876892 2080902 2774536 2815338 3753784 4161804 5630676 7976791 8323608 11261352 15953582 23930373 31907164 47860746 63814328 95721492 191442984