Search a number
-
+
146414484 = 22324394583
BaseRepresentation
bin10001011101000…
…01101110010100
3101012111121220200
420232201232110
5244440230414
622310100500
73425334246
oct1056415624
9335447820
10146414484
1175713407
124104a730
1324444bb8
1415634096
15ccc2109
hex8ba1b94

146414484 has 36 divisors (see below), whose sum is σ = 378714336. Its totient is φ = 47669328.

The previous prime is 146414453. The next prime is 146414491. The reversal of 146414484 is 484414641.

146414484 is a `hidden beast` number, since 1 + 4 + 641 + 4 + 4 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1464144842 = 42874402249972512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45744 + ... + 48839.

Almost surely, 2146414484 is an apocalyptic number.

It is an amenable number.

146414484 is an abundant number, since it is smaller than the sum of its proper divisors (232299852).

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

146414484 is a wasteful number, since it uses less digits than its factorization.

146414484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94636 (or 94631 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 146414484 is about 12100.1852878375. The cubic root of 146414484 is about 527.0615648197.

The spelling of 146414484 in words is "one hundred forty-six million, four hundred fourteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 94583 189166 283749 378332 567498 851247 1134996 1702494 3404988 4067069 8134138 12201207 16268276 24402414 36603621 48804828 73207242 146414484