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23148048 = 2437116263
BaseRepresentation
bin101100001001…
…1011000010000
31121120001011010
41120103120100
521411214143
62144050520
7400520010
oct130233020
947501133
1023148048
1112080520
127903a40
134a46291
143107c40
152073a33
hex1613610

23148048 has 80 divisors (see below), whose sum is σ = 74566656. Its totient is φ = 6011520.

The previous prime is 23148043. The next prime is 23148049. The reversal of 23148048 is 84084132.

It is a super-3 number, since 3×231480483 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (23148043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565 + ... + 6827.

Almost surely, 223148048 is an apocalyptic number.

23148048 is a gapful number since it is divisible by the number (28) 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 23148048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37283328).

23148048 is an abundant number, since it is smaller than the sum of its proper divisors (51418608).

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

23148048 is a wasteful number, since it uses less digits than its factorization.

23148048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6286 counting only the distinct ones).

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

The square root of 23148048 is about 4811.2418355348. The cubic root of 23148048 is about 284.9955801100.

The spelling of 23148048 in words is "twenty-three million, one hundred forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 6263 12526 18789 25052 37578 43841 50104 68893 75156 87682 100208 131523 137786 150312 175364 206679 263046 275572 300624 350728 413358 482251 526092 551144 701456 826716 964502 1052184 1102288 1446753 1653432 1929004 2104368 2893506 3306864 3858008 5787012 7716016 11574024 23148048