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4378480 = 245229239
BaseRepresentation
bin10000101100111101110000
322020110010221
4100230331300
52110102410
6233502424
752134151
oct20547560
98213127
104378480
112520687
121571a14
13ba3c22
1481d928
155b74da
hex42cf70

4378480 has 40 divisors (see below), whose sum is σ = 10267200. Its totient is φ = 1736448.

The previous prime is 4378477. The next prime is 4378481. The reversal of 4378480 is 848734.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×43784802 = 38342174220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4378481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18201 + ... + 18439.

It is an arithmetic number, because the mean of its divisors is an integer number (256680).

Almost surely, 24378480 is an apocalyptic number.

4378480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4378480 is an abundant number, since it is smaller than the sum of its proper divisors (5888720).

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

4378480 is a wasteful number, since it uses less digits than its factorization.

4378480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 4378480 is about 2092.4817800879. The cubic root of 4378480 is about 163.5966690100.

The spelling of 4378480 in words is "four million, three hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 239 458 478 916 956 1145 1195 1832 1912 2290 2390 3664 3824 4580 4780 9160 9560 18320 19120 54731 109462 218924 273655 437848 547310 875696 1094620 2189240 4378480