Search a number
-
+
23458848 = 253724987
BaseRepresentation
bin101100101111…
…1010000100000
31122010211111020
41121133100200
522001140343
62154445440
7403253100
oct131372040
948124436
1023458848
1112272a86
127a33880
134b2489a
143189200
1520d5b83
hex165f420

23458848 has 72 divisors (see below), whose sum is σ = 71647632. Its totient is φ = 6701184.

The previous prime is 23458837. The next prime is 23458849. The reversal of 23458848 is 84885432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23458849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2211 + ... + 7197.

It is an arithmetic number, because the mean of its divisors is an integer number (995106).

Almost surely, 223458848 is an apocalyptic number.

23458848 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 23458848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35823816).

23458848 is an abundant number, since it is smaller than the sum of its proper divisors (48188784).

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

23458848 is a wasteful number, since it uses less digits than its factorization.

23458848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 4999 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 23458848 is about 4843.4334928850. The cubic root of 23458848 is about 286.2654226608.

The spelling of 23458848 in words is "twenty-three million, four hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 4987 9974 14961 19948 29922 34909 39896 59844 69818 79792 104727 119688 139636 159584 209454 239376 244363 279272 418908 478752 488726 558544 733089 837816 977452 1117088 1466178 1675632 1954904 2932356 3351264 3909808 5864712 7819616 11729424 23458848