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4229480 = 235432459
BaseRepresentation
bin10000001000100101101000
321221212202102
4100020211220
52040320410
6230352532
750643563
oct20104550
97855672
104229480
112429742
1214bb748
13b51168
147c14da
155882a5
hex408968

4229480 has 32 divisors (see below), whose sum is σ = 9741600. Its totient is φ = 1651776.

The previous prime is 4229479. The next prime is 4229503. The reversal of 4229480 is 849224.

It is an unprimeable number.

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, 491 + ... + 2949.

It is an arithmetic number, because the mean of its divisors is an integer number (304425).

Almost surely, 24229480 is an apocalyptic number.

4229480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4229480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870800).

4229480 is an abundant number, since it is smaller than the sum of its proper divisors (5512120).

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

4229480 is a wasteful number, since it uses less digits than its factorization.

4229480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4229480 is about 2056.5699599090. The cubic root of 4229480 is about 161.7194759044.

The spelling of 4229480 in words is "four million, two hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 2459 4918 9836 12295 19672 24590 49180 98360 105737 211474 422948 528685 845896 1057370 2114740 4229480