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194792640 = 26357241101
BaseRepresentation
bin10111001110001…
…00110011000000
3111120112111021020
423213010303000
5344331331030
631155025440
74553465400
oct1347046300
9446474236
10194792640
119aa56659
125529b280
1331483023
141bc28800
151217b510
hexb9c4cc0

194792640 has 336 divisors, whose sum is σ = 744285024. Its totient is φ = 43008000.

The previous prime is 194792639. The next prime is 194792657. The reversal of 194792640 is 46297491.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 194792592 and 194792601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1928590 + ... + 1928690.

It is an arithmetic number, because the mean of its divisors is an integer number (2215134).

Almost surely, 2194792640 is an apocalyptic number.

194792640 is a gapful number since it is divisible by the number (10) 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 194792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372142512).

194792640 is an abundant number, since it is smaller than the sum of its proper divisors (549492384).

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

194792640 is a wasteful number, since it uses less digits than its factorization.

194792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 194792640 is about 13956.8133898824. The cubic root of 194792640 is about 579.6833785158.

The spelling of 194792640 in words is "one hundred ninety-four million, seven hundred ninety-two thousand, six hundred forty".