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191538048 = 27313173761
BaseRepresentation
bin10110110101010…
…10001110000000
3111100102010210210
423122222032000
5343013204143
631001154120
74514021652
oct1332521600
9440363723
10191538048
1199133409
125418b940
13308b3830
141b61c6d2
1511c37033
hexb6aa380

191538048 has 256 divisors, whose sum is σ = 605586240. Its totient is φ = 53084160.

The previous prime is 191538041. The next prime is 191538071. The reversal of 191538048 is 840835191.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 191537997 and 191538015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191538041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3139938 + ... + 3139998.

Almost surely, 2191538048 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 191538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302793120).

191538048 is an abundant number, since it is smaller than the sum of its proper divisors (414048192).

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

191538048 is a wasteful number, since it uses less digits than its factorization.

191538048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 191538048 is about 13839.7271649408. The cubic root of 191538048 is about 576.4367828997.

The spelling of 191538048 in words is "one hundred ninety-one million, five hundred thirty-eight thousand, forty-eight".