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296072 = 23717311
BaseRepresentation
bin1001000010010001000
3120001010122
41020102020
533433242
610202412
72342120
oct1102210
9501118
10296072
11192497
12123408
13a49ba
1479c80
155cad2
hex48488

296072 has 32 divisors (see below), whose sum is σ = 673920. Its totient is φ = 119040.

The previous prime is 296071. The next prime is 296083. The reversal of 296072 is 270692.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (296071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2296072 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 296072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336960).

296072 is an abundant number, since it is smaller than the sum of its proper divisors (377848).

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

296072 is a wasteful number, since it uses less digits than its factorization.

296072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 296072 is about 544.1249856421. The cubic root of 296072 is about 66.6498401979.

The spelling of 296072 in words is "two hundred ninety-six thousand, seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 311 476 622 952 1244 2177 2488 4354 5287 8708 10574 17416 21148 37009 42296 74018 148036 296072