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8493440 = 27523577
BaseRepresentation
bin100000011001…
…100110000000
3120222111210212
4200121212000
54133242230
6502013252
7132123134
oct40314600
916874725
108493440
11488127a
122a17228
1319b4c07
1411b13c4
15b2b895
hex819980

8493440 has 64 divisors (see below), whose sum is σ = 21224160. Its totient is φ = 3244032.

The previous prime is 8493439. The next prime is 8493449. The reversal of 8493440 is 443948.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 8493397 and 8493406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8493449) 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 7 ways as a sum of consecutive naturals, for example, 14432 + ... + 15008.

Almost surely, 28493440 is an apocalyptic number.

8493440 is a gapful number since it is divisible by the number (80) 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 8493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10612080).

8493440 is an abundant number, since it is smaller than the sum of its proper divisors (12730720).

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

8493440 is a wasteful number, since it uses less digits than its factorization.

8493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 8493440 is about 2914.3506995556. The cubic root of 8493440 is about 204.0302402947.

The spelling of 8493440 in words is "eight million, four hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 577 640 736 920 1154 1472 1840 2308 2885 2944 3680 4616 5770 7360 9232 11540 13271 14720 18464 23080 26542 36928 46160 53084 66355 73856 92320 106168 132710 184640 212336 265420 369280 424672 530840 849344 1061680 1698688 2123360 4246720 8493440