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4194192408 = 2337241103591
BaseRepresentation
bin1111100111111110…
…0100110000011000
3101211022010001100120
43321333210300120
532042203124113
61532104033240
7205636022130
oct37177446030
911738101316
104194192408
11186256a91a
12990762820
1351ac24473
142bb063ac0
15198333a23
hexf9fe4c18

4194192408 has 64 divisors (see below), whose sum is σ = 12033246720. Its totient is φ = 1193356800.

The previous prime is 4194192407. The next prime is 4194192463. The reversal of 4194192408 is 8042914914.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4194192408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194192407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11308 + ... + 92283.

It is an arithmetic number, because the mean of its divisors is an integer number (188019480).

Almost surely, 24194192408 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 4194192408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016623360).

4194192408 is an abundant number, since it is smaller than the sum of its proper divisors (7839054312).

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

4194192408 is a wasteful number, since it uses less digits than its factorization.

4194192408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103848 (or 103844 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4194192408 is about 64762.5849391452. The cubic root of 4194192408 is about 1612.6846414610.

The spelling of 4194192408 in words is "four billion, one hundred ninety-four million, one hundred ninety-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 723 964 1446 1687 1928 2892 3374 5061 5784 6748 10122 13496 20244 40488 103591 207182 310773 414364 621546 725137 828728 1243092 1450274 2175411 2486184 2900548 4350822 5801096 8701644 17403288 24965431 49930862 74896293 99861724 149792586 174758017 199723448 299585172 349516034 524274051 599170344 699032068 1048548102 1398064136 2097096204 4194192408