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4205280 = 25358761
BaseRepresentation
bin10000000010101011100000
321220122120010
4100002223200
52034032110
6230044520
750513202
oct20025340
97818503
104205280
112412542
1214a9740
13b43141
147b6772
15581020
hex402ae0

4205280 has 48 divisors (see below), whose sum is σ = 13248144. Its totient is φ = 1121280.

The previous prime is 4205269. The next prime is 4205281. The reversal of 4205280 is 825024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205281) 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, 3901 + ... + 4860.

It is an arithmetic number, because the mean of its divisors is an integer number (276003).

Almost surely, 24205280 is an apocalyptic number.

4205280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4205280 is an abundant number, since it is smaller than the sum of its proper divisors (9042864).

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

4205280 is a wasteful number, since it uses less digits than its factorization.

4205280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4205280 is about 2050.6779366834. The cubic root of 4205280 is about 161.4104466335.

The spelling of 4205280 in words is "four million, two hundred five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8761 17522 26283 35044 43805 52566 70088 87610 105132 131415 140176 175220 210264 262830 280352 350440 420528 525660 700880 841056 1051320 1401760 2102640 4205280