Search a number
-
+
1482948828 = 22321723137769
BaseRepresentation
bin101100001100100…
…0000000011011100
310211100102121100200
41120121000003130
511014113330303
6403052423500
751514566654
oct13031000334
93740377320
101482948828
116a10a4449
12354777b90
131a830211a
14100d45364
158a2cc3a3
hex586400dc

1482948828 has 144 divisors (see below), whose sum is σ = 4177293120. Its totient is φ = 441188352.

The previous prime is 1482948827. The next prime is 1482948839. The reversal of 1482948828 is 8288492841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482948827) 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 47 ways as a sum of consecutive naturals, for example, 1928028 + ... + 1928796.

It is an arithmetic number, because the mean of its divisors is an integer number (29008980).

Almost surely, 21482948828 is an apocalyptic number.

1482948828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1482948828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088646560).

1482948828 is an abundant number, since it is smaller than the sum of its proper divisors (2694344292).

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

1482948828 is a wasteful number, since it uses less digits than its factorization.

1482948828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 951 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 1482948828 is about 38509.0746188480. The cubic root of 1482948828 is about 1140.3602093479.

The spelling of 1482948828 in words is "one billion, four hundred eighty-two million, nine hundred forty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 137 138 153 204 207 274 276 306 391 411 414 548 612 769 782 822 828 1173 1233 1538 1564 1644 2307 2329 2346 2466 3076 3151 3519 4614 4658 4692 4932 6302 6921 6987 7038 9228 9316 9453 12604 13073 13842 13974 14076 17687 18906 20961 26146 27684 27948 28359 35374 37812 39219 41922 52292 53061 53567 56718 70748 78438 83844 105353 106122 107134 113436 117657 156876 159183 160701 210706 212244 214268 235314 300679 316059 318366 321402 421412 470628 482103 601358 632118 636732 642804 902037 948177 964206 1202716 1264236 1791001 1804074 1896354 1928412 2423119 2706111 3582002 3608148 3792708 4846238 5373003 5412222 7164004 7269357 9692476 10746006 10824444 14538714 16119009 21492012 21808071 29077428 32238018 41193023 43616142 64476036 82386046 87232284 123579069 164772092 247158138 370737207 494316276 741474414 1482948828