Search a number
-
+
4508490348 = 22331272571279
BaseRepresentation
bin1000011001011101…
…00001101001101100
3102122012112001002000
410030232201221230
533213133142343
62023212332300
7216503351505
oct41456415154
912565461060
104508490348
111a03a1a58a
12a59a74090
1356b08a18b
1430aab9bac
151b5c18ed3
hex10cba1a6c

4508490348 has 96 divisors (see below), whose sum is σ = 11835801600. Its totient is φ = 1484034048.

The previous prime is 4508490341. The next prime is 4508490361. The reversal of 4508490348 is 8430948054.

It is a happy number.

4508490348 is a `hidden beast` number, since 450 + 84 + 90 + 34 + 8 = 666.

It is a super-2 number, since 2×45084903482 = 40652970436018322208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4508490341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3524373 + ... + 3525651.

It is an arithmetic number, because the mean of its divisors is an integer number (123289600).

Almost surely, 24508490348 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 4508490348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917900800).

4508490348 is an abundant number, since it is smaller than the sum of its proper divisors (7327311252).

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

4508490348 is a wasteful number, since it uses less digits than its factorization.

4508490348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4508490348 is about 67145.2928208672. The cubic root of 4508490348 is about 1652.0012873568.

The spelling of 4508490348 in words is "four billion, five hundred eight million, four hundred ninety thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 257 381 508 514 762 771 1028 1143 1279 1524 1542 2286 2313 2558 3084 3429 3837 4572 4626 5116 6858 6939 7674 9252 11511 13716 13878 15348 23022 27756 32639 34533 46044 65278 69066 97917 130556 138132 162433 195834 293751 324866 328703 391668 487299 587502 649732 657406 881253 974598 986109 1175004 1314812 1461897 1762506 1949196 1972218 2923794 2958327 3525012 3944436 4385691 5847588 5916654 8771382 8874981 11833308 17542764 17749962 35499924 41745281 83490562 125235843 166981124 250471686 375707529 500943372 751415058 1127122587 1502830116 2254245174 4508490348