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194550048 = 253271131283
BaseRepresentation
bin10111001100010…
…01100100100000
3111120002011111100
423212021210200
5344301100143
631145514400
74551435210
oct1346114440
9446064440
10194550048
119a900370
12551a2a00
13313c9794
141bba4240
151212e6d3
hexb989920

194550048 has 288 divisors, whose sum is σ = 714534912. Its totient is φ = 48729600.

The previous prime is 194550029. The next prime is 194550049. The reversal of 194550048 is 840055491.

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

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 = 194549994 and 194550021.

It is not an unprimeable number, because it can be changed into a prime (194550049) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 687315 + ... + 687597.

It is an arithmetic number, because the mean of its divisors is an integer number (2481024).

Almost surely, 2194550048 is an apocalyptic number.

194550048 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 194550048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357267456).

194550048 is an abundant number, since it is smaller than the sum of its proper divisors (519984864).

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

194550048 is a wasteful number, since it uses less digits than its factorization.

194550048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 194550048 is about 13948.1198733019. The cubic root of 194550048 is about 579.4426353873.

The spelling of 194550048 in words is "one hundred ninety-four million, five hundred fifty thousand, forty-eight".