Search a number
-
+
2748783828 = 2237417910103
BaseRepresentation
bin1010001111010111…
…0001110011010100
321002120022200112110
42203311301303110
521112142040303
61132431551020
7125055164010
oct24365616324
97076280473
102748783828
111190686a7a
1264868b470
1334a63740b
141c10d1540
151114be703
hexa3d71cd4

2748783828 has 96 divisors (see below), whose sum is σ = 7604674560. Its totient is φ = 756437760.

The previous prime is 2748783799. The next prime is 2748783833. The reversal of 2748783828 is 8283878472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267025 + ... + 277127.

It is an arithmetic number, because the mean of its divisors is an integer number (79215360).

Almost surely, 22748783828 is an apocalyptic number.

2748783828 is a gapful number since it is divisible by the number (28) 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 2748783828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802337280).

2748783828 is an abundant number, since it is smaller than the sum of its proper divisors (4855890732).

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

2748783828 is a wasteful number, since it uses less digits than its factorization.

2748783828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10237 (or 10235 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 57.

The square root of 2748783828 is about 52428.8453811449. The cubic root of 2748783828 is about 1400.8131038577.

The spelling of 2748783828 in words is "two billion, seven hundred forty-eight million, seven hundred eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 79 82 84 123 158 164 237 246 287 316 474 492 553 574 861 948 1106 1148 1659 1722 2212 3239 3318 3444 6478 6636 9717 10103 12956 19434 20206 22673 30309 38868 40412 45346 60618 68019 70721 90692 121236 136038 141442 212163 272076 282884 414223 424326 798137 828446 848652 1242669 1596274 1656892 2394411 2485338 2899561 3192548 4788822 4970676 5586959 5799122 8698683 9577644 11173918 11598244 16760877 17397366 22347836 32723617 33521754 34794732 65447234 67043508 98170851 130894468 196341702 229065319 392683404 458130638 687195957 916261276 1374391914 2748783828