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275750048 = 25743797
BaseRepresentation
bin10000011011111…
…001110010100000
3201012212112221202
4100123321302200
51031043000143
643210140332
76555560000
oct2033716240
9635775852
10275750048
11131721102
12784216a8
134518a112
14288a0000
151931dab8
hex106f9ca0

275750048 has 120 divisors (see below), whose sum is σ = 657148212. Its totient is φ = 113799168.

The previous prime is 275750029. The next prime is 275750071. The reversal of 275750048 is 840057572.

It can be written as a sum of positive squares in 2 ways, for example, as 264647824 + 11102224 = 16268^2 + 3332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 275749993 and 275750020.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2842736 + ... + 2842832.

Almost surely, 2275750048 is an apocalyptic number.

275750048 is a gapful number since it is divisible by the number (28) 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 275750048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328574106).

275750048 is an abundant number, since it is smaller than the sum of its proper divisors (381398164).

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

275750048 is an frugal number, since it uses more digits than its factorization.

275750048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 275750048 is about 16605.7233507005. The cubic root of 275750048 is about 650.8864025012.

The spelling of 275750048 in words is "two hundred seventy-five million, seven hundred fifty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 97 98 112 148 194 196 224 259 296 343 388 392 518 592 679 686 776 784 1036 1184 1358 1372 1552 1568 1813 2072 2401 2716 2744 3104 3589 3626 4144 4753 4802 5432 5488 7178 7252 8288 9506 9604 10864 10976 12691 14356 14504 19012 19208 21728 25123 25382 28712 29008 33271 38024 38416 50246 50764 57424 58016 66542 76048 76832 88837 100492 101528 114848 133084 152096 175861 177674 200984 203056 232897 266168 351722 355348 401968 406112 465794 532336 703444 710696 803936 931588 1064672 1231027 1406888 1421392 1863176 2462054 2813776 2842784 3726352 4924108 5627552 7452704 8617189 9848216 17234378 19696432 34468756 39392864 68937512 137875024 275750048