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146883828 = 223713314339
BaseRepresentation
bin10001100000101…
…00010011110100
3101020101110201210
420300110103310
5300100240303
622324121420
73432330510
oct1060242364
9336343653
10146883828
1175a03aa3
1241236270
132457a710
1415717140
15cd66203
hex8c144f4

146883828 has 96 divisors (see below), whose sum is σ = 435527680. Its totient is φ = 37480320.

The previous prime is 146883827. The next prime is 146883833. The reversal of 146883828 is 828388641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146883823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31683 + ... + 36021.

Almost surely, 2146883828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146883828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217763840).

146883828 is an abundant number, since it is smaller than the sum of its proper divisors (288643852).

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

146883828 is a wasteful number, since it uses less digits than its factorization.

146883828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4395 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 146883828 is about 12119.5638535386. The cubic root of 146883828 is about 527.6241442423.

The spelling of 146883828 in words is "one hundred forty-six million, eight hundred eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1612 2418 2604 2821 4339 4836 5642 8463 8678 11284 13017 16926 17356 26034 30373 33852 52068 56407 60746 91119 112814 121492 134509 169221 182238 225628 269018 338442 364476 394849 403527 538036 676884 789698 807054 941563 1184547 1579396 1614108 1748617 1883126 2369094 2824689 3497234 3766252 4738188 5245851 5649378 6994468 10491702 11298756 12240319 20983404 24480638 36720957 48961276 73441914 146883828