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2844272 = 242359131
BaseRepresentation
bin1010110110011001110000
312100111121102
422312121300
51212004042
6140543532
733114224
oct12663160
95314542
102844272
111672a42
12b51ba8
13787802
14540784
153b2b32
hex2b6670

2844272 has 40 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 1327040.

The previous prime is 2844271. The next prime is 2844277. The reversal of 2844272 is 2724482.

2844272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2844271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21647 + ... + 21777.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

22844272 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 2844272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2844272 is an abundant number, since it is smaller than the sum of its proper divisors (3048208).

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

2844272 is a wasteful number, since it uses less digits than its factorization.

2844272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 7168, while the sum is 29.

The square root of 2844272 is about 1686.4969611594. The cubic root of 2844272 is about 141.6849458920.

The spelling of 2844272 in words is "two million, eight hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 46 59 92 118 131 184 236 262 368 472 524 944 1048 1357 2096 2714 3013 5428 6026 7729 10856 12052 15458 21712 24104 30916 48208 61832 123664 177767 355534 711068 1422136 2844272