Search a number
-
+
990916488 = 2332311313389
BaseRepresentation
bin111011000100000…
…010111110001000
32120001120202212200
4323010002332020
54012133311423
6242154440200
733361436232
oct7304027610
92501522780
10990916488
1146938a251
12237a33060
1312a3a9823
1495865252
155bed9d43
hex3b102f88

990916488 has 96 divisors (see below), whose sum is σ = 2792275200. Its totient is φ = 317116800.

The previous prime is 990916483. The next prime is 990916489. The reversal of 990916488 is 884619099.

It is not an unprimeable number, because it can be changed into a prime (990916483) 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 23 ways as a sum of consecutive naturals, for example, 290698 + ... + 294086.

It is an arithmetic number, because the mean of its divisors is an integer number (29086200).

Almost surely, 2990916488 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 990916488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396137600).

990916488 is an abundant number, since it is smaller than the sum of its proper divisors (1801358712).

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

990916488 is a wasteful number, since it uses less digits than its factorization.

990916488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 990916488 is about 31478.8260263943. The cubic root of 990916488 is about 996.9629483214.

The spelling of 990916488 in words is "nine hundred ninety million, nine hundred sixteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 131 186 248 262 279 372 393 524 558 744 786 1048 1116 1179 1572 2232 2358 3144 3389 4061 4716 6778 8122 9432 10167 12183 13556 16244 20334 24366 27112 30501 32488 36549 40668 48732 61002 73098 81336 97464 105059 122004 146196 210118 244008 292392 315177 420236 443959 630354 840472 887918 945531 1260708 1331877 1775836 1891062 2521416 2663754 3551672 3782124 3995631 5327508 7564248 7991262 10655016 13762729 15982524 27525458 31965048 41288187 55050916 82576374 110101832 123864561 165152748 247729122 330305496 495458244 990916488