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146424399 = 31121992027
BaseRepresentation
bin10001011101001…
…00001001001111
3101012112010111220
420232210021033
5244441040044
622310214423
73425405202
oct1056441117
9335463456
10146424399
117571a900
1241054413
1324449574
1415637939
15ccc5019
hex8ba424f

146424399 has 24 divisors (see below), whose sum is σ = 215779200. Its totient is φ = 88252560.

The previous prime is 146424391. The next prime is 146424409. The reversal of 146424399 is 993424641.

It is not a de Polignac number, because 146424399 - 23 = 146424391 is a prime.

It is a super-2 number, since 2×1464243992 = 42880209245022402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146424399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146424391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71224 + ... + 73250.

It is an arithmetic number, because the mean of its divisors is an integer number (8990800).

Almost surely, 2146424399 is an apocalyptic number.

146424399 is a deficient number, since it is larger than the sum of its proper divisors (69354801).

146424399 is a wasteful number, since it uses less digits than its factorization.

146424399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2240 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 146424399 is about 12100.5949853716. The cubic root of 146424399 is about 527.0734618609.

The spelling of 146424399 in words is "one hundred forty-six million, four hundred twenty-four thousand, three hundred ninety-nine".

Divisors: 1 3 11 33 121 199 363 597 2027 2189 6081 6567 22297 24079 66891 72237 245267 403373 735801 1210119 4437103 13311309 48808133 146424399