Search a number
-
+
917028990 = 232510993479
BaseRepresentation
bin110110101010001…
…100000001111110
32100220112220021200
4312222030001332
53334224411430
6230555040330
731503421623
oct6652140176
92326486250
10917028990
114307034a9
122171400a6
13117ca9707
1489b1034a
1555792460
hex36a8c07e

917028990 has 48 divisors (see below), whose sum is σ = 2406175200. Its totient is φ = 242294976.

The previous prime is 917028961. The next prime is 917029019. The reversal of 917028990 is 99820719.

917028990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (917028961) and next prime (917029019).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36930 + ... + 56549.

It is an arithmetic number, because the mean of its divisors is an integer number (50128650).

Almost surely, 2917028990 is an apocalyptic number.

917028990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

917028990 is an abundant number, since it is smaller than the sum of its proper divisors (1489146210).

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

917028990 is a wasteful number, since it uses less digits than its factorization.

917028990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93601 (or 93598 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 917028990 is about 30282.4865227412. The cubic root of 917028990 is about 971.5407511434.

The spelling of 917028990 in words is "nine hundred seventeen million, twenty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 93479 186958 280437 467395 560874 841311 934790 1402185 1682622 2804370 4206555 8413110 10189211 20378422 30567633 50946055 61135266 91702899 101892110 152838165 183405798 305676330 458514495 917028990