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4355424 = 2533712
BaseRepresentation
bin10000100111010101100000
322012021112000
4100213111200
52103333144
6233204000
752010013
oct20472540
98167460
104355424
112505327
121560600
13b96598
1481537a
155b0769
hex427560

4355424 has 72 divisors (see below), whose sum is σ = 12884760. Its totient is φ = 1431360.

The previous prime is 4355411. The next prime is 4355437. The reversal of 4355424 is 4245534.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (4355411) and next prime (4355437).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61309 + ... + 61379.

It is an arithmetic number, because the mean of its divisors is an integer number (178955).

Almost surely, 24355424 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 4355424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442380).

4355424 is an abundant number, since it is smaller than the sum of its proper divisors (8529336).

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

4355424 is an equidigital number, since it uses as much as digits as its factorization.

4355424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 76 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 4355424 is about 2086.9652608513. The cubic root of 4355424 is about 163.3090102149.

Multiplying 4355424 by its product of digits (9600), we get a square (41812070400 = 2044802).

The spelling of 4355424 in words is "four million, three hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5041 5112 6816 7668 10082 10224 15123 15336 20164 20448 30246 30672 40328 45369 60492 61344 80656 90738 120984 136107 161312 181476 241968 272214 362952 483936 544428 725904 1088856 1451808 2177712 4355424