Search a number
-
+
9027429312 = 2631137115523
BaseRepresentation
bin10000110100001001…
…11010001111000000
3212022010200220221210
420122010322033000
5121442010214222
64051441050120
7436464611616
oct103204721700
925263626853
109027429312
113912826290
1218bb326940
13b0b365165
14618d156b6
1537c7e8d0c
hex21a13a3c0

9027429312 has 112 divisors (see below), whose sum is σ = 26760903552. Its totient is φ = 2661626880.

The previous prime is 9027429311. The next prime is 9027429319. The reversal of 9027429312 is 2139247209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9027429311) 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, 20383 + ... + 135905.

Almost surely, 29027429312 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 9027429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380451776).

9027429312 is an abundant number, since it is smaller than the sum of its proper divisors (17733474240).

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

9027429312 is a wasteful number, since it uses less digits than its factorization.

9027429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115586 (or 115576 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 9027429312 is about 95012.7849923367. The cubic root of 9027429312 is about 2082.1948380014.

The spelling of 9027429312 in words is "nine billion, twenty-seven million, four hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 192 222 264 296 352 407 444 528 592 704 814 888 1056 1184 1221 1628 1776 2112 2368 2442 3256 3552 4884 6512 7104 9768 13024 19536 26048 39072 78144 115523 231046 346569 462092 693138 924184 1270753 1386276 1848368 2541506 2772552 3696736 3812259 4274351 5083012 5545104 7393472 7624518 8548702 10166024 11090208 12823053 15249036 17097404 20332048 22180416 25646106 30498072 34194808 40664096 47017861 51292212 60996144 68389616 81328192 94035722 102584424 121992288 136779232 141053583 188071444 205168848 243984576 273558464 282107166 376142888 410337696 564214332 752285776 820675392 1128428664 1504571552 2256857328 3009143104 4513714656 9027429312