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191289248 = 2547193659
BaseRepresentation
bin10110110011011…
…01011110100000
3111022221111111222
423121231132200
5342432223443
630551554212
74511634413
oct1331553640
9438844458
10191289248
1198a83497
125408b968
1330827507
141b595b7a
1511bd8468
hexb66d7a0

191289248 has 48 divisors (see below), whose sum is σ = 387192960. Its totient is φ = 92983296.

The previous prime is 191289239. The next prime is 191289299. The reversal of 191289248 is 842982191.

It is a junction number, because it is equal to n+sod(n) for n = 191289199 and 191289208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289943 + ... + 290601.

It is an arithmetic number, because the mean of its divisors is an integer number (8066520).

Almost surely, 2191289248 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 191289248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193596480).

191289248 is an abundant number, since it is smaller than the sum of its proper divisors (195903712).

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

191289248 is a wasteful number, since it uses less digits than its factorization.

191289248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 901 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 191289248 is about 13830.7356275796. The cubic root of 191289248 is about 576.1870855755.

The spelling of 191289248 in words is "one hundred ninety-one million, two hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 47 94 188 193 376 386 659 752 772 1318 1504 1544 2636 3088 5272 6176 9071 10544 18142 21088 30973 36284 61946 72568 123892 127187 145136 247784 254374 290272 495568 508748 991136 1017496 2034992 4069984 5977789 11955578 23911156 47822312 95644624 191289248