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145476198 = 23272198681
BaseRepresentation
bin10001010101111…
…00101001100110
3101010201221211100
420222330221212
5244220214243
622234020530
73414345600
oct1052745146
9333657740
10145476198
117513246a
1240877746
13241a6aba
141546c170
15cb890d3
hex8abca66

145476198 has 72 divisors (see below), whose sum is σ = 386001720. Its totient is φ = 39372480.

The previous prime is 145476197. The next prime is 145476203. The reversal of 145476198 is 891674541.

145476198 is a `hidden beast` number, since 1 + 454 + 7 + 6 + 198 = 666.

145476198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145476197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12418 + ... + 21098.

It is an arithmetic number, because the mean of its divisors is an integer number (5361135).

Almost surely, 2145476198 is an apocalyptic number.

145476198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145476198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193000860).

145476198 is an abundant number, since it is smaller than the sum of its proper divisors (240525522).

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

145476198 is a wasteful number, since it uses less digits than its factorization.

145476198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8722 (or 8712 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 145476198 is about 12061.3514168189. The cubic root of 145476198 is about 525.9332733044.

It can be divided in two parts, 14547 and 6198, that multiplied together give a triangular number (90162306 = T13428).

The spelling of 145476198 in words is "one hundred forty-five million, four hundred seventy-six thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8379 8681 16758 17362 26043 52086 60767 78129 121534 156258 164939 182301 329878 364602 425369 494817 546903 850738 989634 1093806 1154573 1276107 1484451 2309146 2552214 2968902 3463719 3828321 6927438 7656642 8082011 10391157 16164022 20782314 24246033 48492066 72738099 145476198