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4123488 = 25342953
BaseRepresentation
bin1111101110101101100000
321202111100210
433232231200
52023422423
6224214120
750022555
oct17565540
97674323
104123488
112367046
12146a340
13b14b45
14794a2c
15566b93
hex3eeb60

4123488 has 24 divisors (see below), whose sum is σ = 10824408. Its totient is φ = 1374464.

The previous prime is 4123477. The next prime is 4123489. The reversal of 4123488 is 8843214.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×41234882 = 34006306572288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21381 + ... + 21572.

It is an arithmetic number, because the mean of its divisors is an integer number (451017).

Almost surely, 24123488 is an apocalyptic number.

4123488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4123488 is an abundant number, since it is smaller than the sum of its proper divisors (6700920).

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

4123488 is a wasteful number, since it uses less digits than its factorization.

4123488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42966 (or 42958 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 4123488 is about 2030.6373383743. The cubic root of 4123488 is about 160.3571189863.

The spelling of 4123488 in words is "four million, one hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 42953 85906 128859 171812 257718 343624 515436 687248 1030872 1374496 2061744 4123488