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4903640676 = 223211210612
BaseRepresentation
bin1001001000100011…
…11001111001100100
3110122202001202102100
410210101321321210
540020313000201
62130330012100
7232342154334
oct44421717144
913582052370
104903640676
112096a82900
12b4a277030
13601bc123c
1434737b0c4
151da770886
hex124479e64

4903640676 has 81 divisors (see below), whose sum is σ = 13637454649. Its totient is φ = 1484551200.

The previous prime is 4903640671. The next prime is 4903640741. The reversal of 4903640676 is 6760463094.

The square root of 4903640676 is 70026.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3229194276 + 1674446400 = 56826^2 + 40920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4903640671) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4621186 + ... + 4622246.

Almost surely, 24903640676 is an apocalyptic number.

4903640676 is the 70026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4903640676

4903640676 is an abundant number, since it is smaller than the sum of its proper divisors (8733813973).

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

4903640676 is a wasteful number, since it uses less digits than its factorization.

4903640676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The cubic root of 4903640676 is about 1698.9198069774.

The spelling of 4903640676 in words is "four billion, nine hundred three million, six hundred forty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1061 1089 1452 2122 2178 3183 4244 4356 6366 9549 11671 12732 19098 23342 35013 38196 46684 70026 105039 128381 140052 210078 256762 385143 420156 513524 770286 1125721 1155429 1540572 2251442 2310858 3377163 4502884 4621716 6754326 10131489 12382931 13508652 20262978 24765862 37148793 40525956 49531724 74297586 111446379 136212241 148595172 222892758 272424482 408636723 445785516 544848964 817273446 1225910169 1634546892 2451820338 4903640676