Search a number
-
+
48233024 = 2672331151
BaseRepresentation
bin1011011111111…
…1101001000000
310100202111021022
42313333221000
544321424044
64441445012
71123655030
oct267775100
9110674238
1048233024
1125254204
12141a0768
139cba068
1465978c0
15437b3ee
hex2dffa40

48233024 has 112 divisors (see below), whose sum is σ = 118603776. Its totient is φ = 19008000.

The previous prime is 48233011. The next prime is 48233027. The reversal of 48233024 is 42033284.

It is a Cunningham number, because it is equal to 69452-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×482330244 (a number of 32 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48232984 and 48233002.

It is not an unprimeable number, because it can be changed into a prime (48233027) 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, 319349 + ... + 319499.

Almost surely, 248233024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59301888).

48233024 is an abundant number, since it is smaller than the sum of its proper divisors (70370752).

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

48233024 is a wasteful number, since it uses less digits than its factorization.

48233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 48233024 is about 6944.9999280058. Note that the first 4 decimals coincide. The cubic root of 48233024 is about 364.0112704315.

The spelling of 48233024 in words is "forty-eight million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 151 161 184 217 224 248 302 322 368 434 448 496 604 644 713 736 868 992 1057 1208 1288 1426 1472 1736 1984 2114 2416 2576 2852 3472 3473 4228 4681 4832 4991 5152 5704 6944 6946 8456 9362 9664 9982 10304 11408 13888 13892 16912 18724 19964 22816 24311 27784 32767 33824 37448 39928 45632 48622 55568 65534 67648 74896 79856 97244 107663 111136 131068 149792 159712 194488 215326 222272 262136 299584 319424 388976 430652 524272 753641 777952 861304 1048544 1507282 1555904 1722608 2097088 3014564 3445216 6029128 6890432 12058256 24116512 48233024