Search a number
-
+
146438253 = 3313417203
BaseRepresentation
bin10001011101001…
…11100001101101
3101012112211112000
420232213201231
5244442011003
622310402513
73425463453
oct1056474155
9335484460
10146438253
117572a255
1241060439
1324452970
141563c9d3
15ccc91a3
hex8ba786d

146438253 has 16 divisors (see below), whose sum is σ = 233634240. Its totient is φ = 90115632.

The previous prime is 146438251. The next prime is 146438261. The reversal of 146438253 is 352834641.

146438253 is a `hidden beast` number, since 1 + 4 + 643 + 8 + 2 + 5 + 3 = 666.

It is not a de Polignac number, because 146438253 - 21 = 146438251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146438251) 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, 208251 + ... + 208952.

It is an arithmetic number, because the mean of its divisors is an integer number (14602140).

Almost surely, 2146438253 is an apocalyptic number.

146438253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146438253 is a deficient number, since it is larger than the sum of its proper divisors (87195987).

146438253 is a wasteful number, since it uses less digits than its factorization.

146438253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417225 (or 417219 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 146438253 is about 12101.1674230216. The cubic root of 146438253 is about 527.0900844218.

The spelling of 146438253 in words is "one hundred forty-six million, four hundred thirty-eight thousand, two hundred fifty-three".

Divisors: 1 3 9 13 27 39 117 351 417203 1251609 3754827 5423639 11264481 16270917 48812751 146438253