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276048 = 243571
BaseRepresentation
bin1000011011001010000
3112000200000
41003121100
532313143
65530000
72226543
oct1033120
9460600
10276048
11179443
12113900
1398856
147285a
1556bd3
hex43650

276048 has 60 divisors (see below), whose sum is σ = 812448. Its totient is φ = 90720.

The previous prime is 276047. The next prime is 276049. The reversal of 276048 is 840672.

It is an interprime number because it is at equal distance from previous prime (276047) and next prime (276049).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 276048.

It is not an unprimeable number, because it can be changed into a prime (276041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3853 + ... + 3923.

2276048 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 276048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

276048 is an abundant number, since it is smaller than the sum of its proper divisors (536400).

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

276048 is an equidigital number, since it uses as much as digits as its factorization.

276048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 276048 is about 525.4027026958. The cubic root of 276048 is about 65.1120748907.

The spelling of 276048 in words is "two hundred seventy-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 243 284 324 426 432 486 568 639 648 852 972 1136 1278 1296 1704 1917 1944 2556 3408 3834 3888 5112 5751 7668 10224 11502 15336 17253 23004 30672 34506 46008 69012 92016 138024 276048