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398192424 = 233721971251
BaseRepresentation
bin10111101110111…
…110111100101000
31000202021021022120
4113232332330220
51303414124144
6103302351240
712603402600
oct2756767450
91022237276
10398192424
11194850953
12b142b520
136465a926
143ac53c00
1524e57e19
hex17bbef28

398192424 has 192 divisors, whose sum is σ = 1241049600. Its totient is φ = 105840000.

The previous prime is 398192423. The next prime is 398192437. The reversal of 398192424 is 424291893.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398192423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1586299 + ... + 1586549.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2398192424 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 398192424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

398192424 is an abundant number, since it is smaller than the sum of its proper divisors (842857176).

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

398192424 is a wasteful number, since it uses less digits than its factorization.

398192424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 398192424 is about 19954.7594322758. The cubic root of 398192424 is about 735.6947625663.

The spelling of 398192424 in words is "three hundred ninety-eight million, one hundred ninety-two thousand, four hundred twenty-four".