Search a number
-
+
274949424 = 24332392663
BaseRepresentation
bin10000011000110…
…110010100110000
3201011100212201000
4100120312110300
51030341340144
643141042000
76546013551
oct2030662460
9634325630
10274949424
11131224632
12780b6300
1344c69889
1428732328
1519211769
hex10636530

274949424 has 80 divisors (see below), whose sum is σ = 792806400. Its totient is φ = 91232064.

The previous prime is 274949401. The next prime is 274949431. The reversal of 274949424 is 424949472.

It is a self number, because there is not a number n which added to its sum of digits gives 274949424.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 101917 + ... + 104579.

It is an arithmetic number, because the mean of its divisors is an integer number (9910080).

Almost surely, 2274949424 is an apocalyptic number.

274949424 is a gapful number since it is divisible by the number (24) 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 274949424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396403200).

274949424 is an abundant number, since it is smaller than the sum of its proper divisors (517856976).

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

274949424 is a wasteful number, since it uses less digits than its factorization.

274949424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2907 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 274949424 is about 16581.5989578810. The cubic root of 274949424 is about 650.2558550948.

The spelling of 274949424 in words is "two hundred seventy-four million, nine hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 239 432 478 717 956 1434 1912 2151 2663 2868 3824 4302 5326 5736 6453 7989 8604 10652 11472 12906 15978 17208 21304 23967 25812 31956 34416 42608 47934 51624 63912 71901 95868 103248 127824 143802 191736 287604 383472 575208 636457 1150416 1272914 1909371 2545828 3818742 5091656 5728113 7637484 10183312 11456226 15274968 17184339 22912452 30549936 34368678 45824904 68737356 91649808 137474712 274949424