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146203749 = 3243337517
BaseRepresentation
bin10001011011011…
…10010001100101
3101012002220211200
420231232101211
5244412004444
622301353113
73423465666
oct1055562145
9335086750
10146203749
117558a04a
1240b68799
132439ccc3
14155bb36d
15cc7e969
hex8b6e465

146203749 has 12 divisors (see below), whose sum is σ = 211676556. Its totient is φ = 97241472.

The previous prime is 146203721. The next prime is 146203751. The reversal of 146203749 is 947302641.

146203749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41796225 + 104407524 = 6465^2 + 10218^2 .

It is not a de Polignac number, because 146203749 - 28 = 146203493 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146203549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14862 + ... + 22655.

It is an arithmetic number, because the mean of its divisors is an integer number (17639713).

Almost surely, 2146203749 is an apocalyptic number.

It is an amenable number.

146203749 is a deficient number, since it is larger than the sum of its proper divisors (65472807).

146203749 is a wasteful number, since it uses less digits than its factorization.

146203749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37956 (or 37953 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 146203749 is about 12091.4742277358. The cubic root of 146203749 is about 526.8085760751.

The spelling of 146203749 in words is "one hundred forty-six million, two hundred three thousand, seven hundred forty-nine".

Divisors: 1 3 9 433 1299 3897 37517 112551 337653 16244861 48734583 146203749