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4281408 = 26327433
BaseRepresentation
bin10000010101010001000000
322001111222200
4100111101000
52044001113
6231433200
751251145
oct20252100
98044880
104281408
11246475a
121525800
13b6b9a1
147d63cc
15598873
hex415440

4281408 has 42 divisors (see below), whose sum is σ = 12273534. Its totient is φ = 1426944.

The previous prime is 4281383. The next prime is 4281413. The reversal of 4281408 is 8041824.

It can be written as a sum of positive squares in only one way, i.e., 2663424 + 1617984 = 1632^2 + 1272^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3141 + ... + 4292.

It is an arithmetic number, because the mean of its divisors is an integer number (292227).

Almost surely, 24281408 is an apocalyptic number.

4281408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4281408 is an abundant number, since it is smaller than the sum of its proper divisors (7992126).

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

4281408 is a wasteful number, since it uses less digits than its factorization.

4281408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7451 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4281408 is about 2069.1563498199. The cubic root of 4281408 is about 162.3786296874.

The spelling of 4281408 in words is "four million, two hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 7433 14866 22299 29732 44598 59464 66897 89196 118928 133794 178392 237856 267588 356784 475712 535176 713568 1070352 1427136 2140704 4281408