Search a number
-
+
902660496 = 243293891667
BaseRepresentation
bin110101110011011…
…000000110010000
32022220111220102020
4311303120012100
53322040113441
6225323051440
731240326153
oct6563300620
92286456366
10902660496
1142358a211
12212370b80
1311501864a
1487c4dc9a
15543a4e66
hex35cd8190

902660496 has 80 divisors (see below), whose sum is σ = 2419934400. Its totient is φ = 289590784.

The previous prime is 902660491. The next prime is 902660497. The reversal of 902660496 is 694066209.

It is not an unprimeable number, because it can be changed into a prime (902660491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540655 + ... + 542321.

It is an arithmetic number, because the mean of its divisors is an integer number (30249180).

Almost surely, 2902660496 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 902660496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209967200).

902660496 is an abundant number, since it is smaller than the sum of its proper divisors (1517273904).

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

902660496 is a wasteful number, since it uses less digits than its factorization.

902660496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 902660496 is about 30044.3088787211. The cubic root of 902660496 is about 966.4398119006.

The spelling of 902660496 in words is "nine hundred two million, six hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 389 464 696 778 1167 1392 1556 1667 2334 3112 3334 4668 5001 6224 6668 9336 10002 11281 13336 18672 20004 22562 26672 33843 40008 45124 48343 67686 80016 90248 96686 135372 145029 180496 193372 270744 290058 386744 541488 580116 648463 773488 1160232 1296926 1945389 2320464 2593852 3890778 5187704 7781556 10375408 15563112 18805427 31126224 37610854 56416281 75221708 112832562 150443416 225665124 300886832 451330248 902660496