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398135192 = 23731311161
BaseRepresentation
bin10111101110110…
…000111110011000
31000202011100210212
4113232300332120
51303410311232
6103301230252
712603044000
oct2756607630
91022140725
10398135192
11194811954
12b1402388
136463a870
143ac3b000
1524e45eb2
hex17bb0f98

398135192 has 64 divisors (see below), whose sum is σ = 937608000. Its totient is φ = 157489920.

The previous prime is 398135183. The next prime is 398135197. The reversal of 398135192 is 291531893.

It is a super-2 number, since 2×3981351922 = 317023262217753728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398135197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30092 + ... + 41252.

It is an arithmetic number, because the mean of its divisors is an integer number (14650125).

Almost surely, 2398135192 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 398135192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468804000).

398135192 is an abundant number, since it is smaller than the sum of its proper divisors (539472808).

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

398135192 is a wasteful number, since it uses less digits than its factorization.

398135192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11201 (or 11183 counting only the distinct ones).

The product of its digits is 58320, while the sum is 41.

The square root of 398135192 is about 19953.3253368956. The cubic root of 398135192 is about 735.6595138628.

The spelling of 398135192 in words is "three hundred ninety-eight million, one hundred thirty-five thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 364 392 637 686 728 1274 1372 2548 2744 4459 5096 8918 11161 17836 22322 35672 44644 78127 89288 145093 156254 290186 312508 546889 580372 625016 1015651 1093778 1160744 2031302 2187556 3828223 4062604 4375112 7109557 7656446 8125208 14219114 15312892 28438228 30625784 49766899 56876456 99533798 199067596 398135192