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194190048 = 25351317113
BaseRepresentation
bin10111001001100…
…01101011100000
3111112101212200000
423210301223200
5344203040143
631134100000
74545405513
oct1344615340
9445355600
10194190048
119a684948
125504a600
1331301970
141bb0cd7a
15120acbd3
hexb931ae0

194190048 has 288 divisors, whose sum is σ = 658790496. Its totient is φ = 55738368.

The previous prime is 194190047. The next prime is 194190083. The reversal of 194190048 is 840091491.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×1941900484 (a number of 34 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 194189994 and 194190021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194190047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1718440 + ... + 1718552.

It is an arithmetic number, because the mean of its divisors is an integer number (2287467).

Almost surely, 2194190048 is an apocalyptic number.

194190048 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 194190048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329395248).

194190048 is an abundant number, since it is smaller than the sum of its proper divisors (464600448).

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

194190048 is a wasteful number, since it uses less digits than its factorization.

194190048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 194190048 is about 13935.2089327717. The cubic root of 194190048 is about 579.0850099348.

The spelling of 194190048 in words is "one hundred ninety-four million, one hundred ninety thousand, forty-eight".