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275612064 = 25372134507
BaseRepresentation
bin10000011011011…
…000000110100000
3201012121112200020
4100123120012200
51031024041224
643203153440
76554443500
oct2033300640
9635545606
10275612064
11131637472
1278375880
134513c380
1428865a00
15192e2c79
hex106d81a0

275612064 has 144 divisors (see below), whose sum is σ = 906540768. Its totient is φ = 72672768.

The previous prime is 275612063. The next prime is 275612093. The reversal of 275612064 is 460216572.

275612064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (275612063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58899 + ... + 63405.

It is an arithmetic number, because the mean of its divisors is an integer number (6295422).

Almost surely, 2275612064 is an apocalyptic number.

275612064 is a gapful number since it is divisible by the number (24) 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 275612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453270384).

275612064 is an abundant number, since it is smaller than the sum of its proper divisors (630928704).

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

275612064 is a wasteful number, since it uses less digits than its factorization.

275612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 275612064 is about 16601.5681187049. The cubic root of 275612064 is about 650.7778175772. Note that the first 3 decimals are identical.

The spelling of 275612064 in words is "two hundred seventy-five million, six hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4507 4704 5096 7644 8736 9014 10192 13521 15288 18028 20384 27042 30576 31549 36056 54084 58591 61152 63098 72112 94647 108168 117182 126196 144224 175773 189294 216336 220843 234364 252392 351546 378588 410137 432672 441686 468728 504784 662529 703092 757176 820274 883372 937456 1009568 1230411 1325058 1406184 1514352 1640548 1766744 1874912 2460822 2650116 2812368 2870959 3028704 3281096 3533488 4921644 5300232 5624736 5741918 6562192 7066976 8612877 9843288 10600464 11483836 13124384 17225754 19686576 21200928 22967672 34451508 39373152 45935344 68903016 91870688 137806032 275612064