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273448 = 23719257
BaseRepresentation
bin1000010110000101000
3111220002201
41002300220
532222243
65505544
72216140
oct1026050
9456081
10273448
1117749a
121122b4
1397606
1471920
155604d
hex42c28

273448 has 32 divisors (see below), whose sum is σ = 619200. Its totient is φ = 110592.

The previous prime is 273433. The next prime is 273457. The reversal of 273448 is 844372.

273448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 27 + 7 + 46 + 38 + 49 + 83 .

It is an unprimeable number.

273448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936 + ... + 1192.

It is an arithmetic number, because the mean of its divisors is an integer number (19350).

2273448 is an apocalyptic number.

273448 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 273448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309600).

273448 is an abundant number, since it is smaller than the sum of its proper divisors (345752).

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

273448 is a wasteful number, since it uses less digits than its factorization.

273448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 273448 is about 522.9225564077. The cubic root of 273448 is about 64.9070070616.

It can be divided in two parts, 27 and 3448, that multiplied together give a triangular number (93096 = T431).

The spelling of 273448 in words is "two hundred seventy-three thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 257 266 514 532 1028 1064 1799 2056 3598 4883 7196 9766 14392 19532 34181 39064 68362 136724 273448