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195126048 = 253213219211
BaseRepresentation
bin10111010000101…
…10001100100000
3111121011102121200
423220112030200
5344423013143
631210121200
74556354415
oct1350261440
9447142550
10195126048
11a01640a7
1255420200
133156ba00
141bcb410c
15121e51d3
hexba16320

195126048 has 216 divisors, whose sum is σ = 635478480. Its totient is φ = 56609280.

The previous prime is 195126031. The next prime is 195126077. The reversal of 195126048 is 840621591.

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

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 35 ways as a sum of consecutive naturals, for example, 924663 + ... + 924873.

It is an arithmetic number, because the mean of its divisors is an integer number (2942030).

Almost surely, 2195126048 is an apocalyptic number.

195126048 is a gapful number since it is divisible by the number (18) 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 195126048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317739240).

195126048 is an abundant number, since it is smaller than the sum of its proper divisors (440352432).

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

195126048 is a wasteful number, since it uses less digits than its factorization.

195126048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

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

The square root of 195126048 is about 13968.7525570467. The cubic root of 195126048 is about 580.0139196025.

The spelling of 195126048 in words is "one hundred ninety-five million, one hundred twenty-six thousand, forty-eight".