Search a number
-
+
275968032 = 2535373743
BaseRepresentation
bin10000011100101…
…111000000100000
3201020021121222020
4100130233000200
51031121434112
643214541440
76560455344
oct2034570040
9636247866
10275968032
1113185a95a
1278507880
13452353c2
1428919624
151936348c
hex1072f020

275968032 has 96 divisors (see below), whose sum is σ = 749202048. Its totient is φ = 88897536.

The previous prime is 275968019. The next prime is 275968037. The reversal of 275968032 is 230869572.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (275968037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371053 + ... + 371795.

It is an arithmetic number, because the mean of its divisors is an integer number (7804188).

Almost surely, 2275968032 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 275968032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374601024).

275968032 is an abundant number, since it is smaller than the sum of its proper divisors (473234016).

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

275968032 is a wasteful number, since it uses less digits than its factorization.

275968032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 275968032 is about 16612.2855742369. The cubic root of 275968032 is about 651.0578687164.

The spelling of 275968032 in words is "two hundred seventy-five million, nine hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 73 96 106 146 159 212 219 292 318 424 438 584 636 743 848 876 1168 1272 1486 1696 1752 2229 2336 2544 2972 3504 3869 4458 5088 5944 7008 7738 8916 11607 11888 15476 17832 23214 23776 30952 35664 39379 46428 54239 61904 71328 78758 92856 108478 118137 123808 157516 162717 185712 216956 236274 315032 325434 371424 433912 472548 630064 650868 867824 945096 1260128 1301736 1735648 1890192 2603472 2874667 3780384 5206944 5749334 8624001 11498668 17248002 22997336 34496004 45994672 68992008 91989344 137984016 275968032