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4293216 = 25334969
BaseRepresentation
bin10000011000001001100000
322002010012000
4100120021200
52044340331
6232004000
751330444
oct20301140
98063160
104293216
112472614
121530600
13b74185
147da824
1559c0e6
hex418260

4293216 has 48 divisors (see below), whose sum is σ = 12524400. Its totient is φ = 1430784.

The previous prime is 4293199. The next prime is 4293227. The reversal of 4293216 is 6123924.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4293216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1621 + ... + 3348.

It is an arithmetic number, because the mean of its divisors is an integer number (260925).

Almost surely, 24293216 is an apocalyptic number.

It is an amenable number.

4293216 is an abundant number, since it is smaller than the sum of its proper divisors (8231184).

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

4293216 is a wasteful number, since it uses less digits than its factorization.

4293216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4974 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4293216 is about 2072.0077219933. The cubic root of 4293216 is about 162.5277711905.

The spelling of 4293216 in words is "four million, two hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4969 9938 14907 19876 29814 39752 44721 59628 79504 89442 119256 134163 159008 178884 238512 268326 357768 477024 536652 715536 1073304 1431072 2146608 4293216