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4123248 = 2431731163
BaseRepresentation
bin1111101110101001110000
321202111000220
433232221300
52023420443
6224213040
750022063
oct17565160
97674026
104123248
112366948
12146a180
13b149bc
147948da
15566a83
hex3eea70

4123248 has 80 divisors (see below), whose sum is σ = 11713536. Its totient is φ = 1244160.

The previous prime is 4123211. The next prime is 4123253. The reversal of 4123248 is 8423214.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25215 + ... + 25377.

Almost surely, 24123248 is an apocalyptic number.

4123248 is a gapful number since it is divisible by the number (48) 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 4123248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856768).

4123248 is an abundant number, since it is smaller than the sum of its proper divisors (7590288).

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

4123248 is a wasteful number, since it uses less digits than its factorization.

4123248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4123248 is about 2030.5782427673. The cubic root of 4123248 is about 160.3540078294.

It can be divided in two parts, 4123 and 248, that added together give a triangular number (4371 = T93).

The spelling of 4123248 in words is "four million, one hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 163 186 204 248 272 326 372 408 489 496 527 652 744 816 978 1054 1304 1488 1581 1956 2108 2608 2771 3162 3912 4216 5053 5542 6324 7824 8313 8432 10106 11084 12648 15159 16626 20212 22168 25296 30318 33252 40424 44336 60636 66504 80848 85901 121272 133008 171802 242544 257703 343604 515406 687208 1030812 1374416 2061624 4123248