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191048256 = 263273967
BaseRepresentation
bin10110110001100…
…10101001000000
3111022111020221100
423120302221000
5342402021011
630542454400
74506612000
oct1330625100
9438436840
10191048256
1198929423
1253b94400
1330771909
141b532000
1511b8bd56
hexb632a40

191048256 has 168 divisors, whose sum is σ = 639267200. Its totient is φ = 54528768.

The previous prime is 191048161. The next prime is 191048293. The reversal of 191048256 is 652840191.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1910482562 = 72998872241283072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 191048256.

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, 197085 + ... + 198051.

Almost surely, 2191048256 is an apocalyptic number.

191048256 is a gapful number since it is divisible by the number (16) 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 191048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319633600).

191048256 is an abundant number, since it is smaller than the sum of its proper divisors (448218944).

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

191048256 is an equidigital number, since it uses as much as digits as its factorization.

191048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 191048256 is about 13822.0206916355. The cubic root of 191048256 is about 575.9450179000.

The spelling of 191048256 in words is "one hundred ninety-one million, forty-eight thousand, two hundred fifty-six".