Search a number
-
+
9290028084 = 22329473831483
BaseRepresentation
bin10001010011011101…
…01001010000110100
3212222102211022202020
420221232221100310
5123011221344314
64133501313140
7446133635661
oct105156512064
925872738666
109290028084
113a37a84667
1219732657b0
13b5089924c
14641b50a68
153958bada9
hex229ba9434

9290028084 has 96 divisors (see below), whose sum is σ = 22976593920. Its totient is φ = 2916670848.

The previous prime is 9290028079. The next prime is 9290028101. The reversal of 9290028084 is 4808200929.

It is a super-2 number, since 2×92900280842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6263607 + ... + 6265089.

It is an arithmetic number, because the mean of its divisors is an integer number (239339520).

Almost surely, 29290028084 is an apocalyptic number.

9290028084 is a gapful number since it is divisible by the number (94) 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 9290028084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488296960).

9290028084 is an abundant number, since it is smaller than the sum of its proper divisors (13686565836).

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

9290028084 is a wasteful number, since it uses less digits than its factorization.

9290028084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 9290028084 is about 96384.7917671663. The cubic root of 9290028084 is about 2102.1918222024.

The spelling of 9290028084 in words is "nine billion, two hundred ninety million, twenty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 348 383 564 766 1149 1363 1483 1532 2298 2726 2966 4089 4449 4596 5452 5932 8178 8898 11107 16356 17796 18001 22214 33321 36002 43007 44428 54003 66642 69701 72004 86014 108006 129021 133284 139402 172028 209103 216012 258042 278804 418206 516084 522029 567989 836412 1044058 1135978 1566087 1703967 2021329 2088116 2271956 3132174 3407934 4042658 6063987 6264348 6815868 8085316 12127974 16471681 24255948 26695483 32943362 49415043 53390966 65886724 80086449 98830086 106781932 160172898 197660172 320345796 774169007 1548338014 2322507021 3096676028 4645014042 9290028084