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2397472 = 257211139
BaseRepresentation
bin1001001001010100100000
311111210201021
421021110200
51103204342
6123215224
726243500
oct11112440
94453637
102397472
111398290
12977514
1365c32c
14465a00
15325567
hex249520

2397472 has 72 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 927360.

The previous prime is 2397467. The next prime is 2397481. The reversal of 2397472 is 2747932.

2397472 = T288 + T289 + ... + T336.

2397472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 17179 + ... + 17317.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

22397472 is an apocalyptic number.

2397472 is a gapful number since it is divisible by the number (22) 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 2397472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

2397472 is an abundant number, since it is smaller than the sum of its proper divisors (3635408).

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

2397472 is a wasteful number, since it uses less digits than its factorization.

2397472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 2397472 is about 1548.3772150222. The cubic root of 2397472 is about 133.8395644320.

The spelling of 2397472 in words is "two million, three hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 139 154 176 196 224 278 308 352 392 539 556 616 784 973 1078 1112 1232 1529 1568 1946 2156 2224 2464 3058 3892 4312 4448 6116 6811 7784 8624 10703 12232 13622 15568 17248 21406 24464 27244 31136 42812 48928 54488 74921 85624 108976 149842 171248 217952 299684 342496 599368 1198736 2397472