Search a number
-
+
48023328 = 2532511993
BaseRepresentation
bin1011011100110…
…0011100100000
310100100211121210
42313030130200
544243221303
64433150120
71122122463
oct267143440
9110324553
1048023328
1125120701
12140bb340
139c45792
1465412da
154339203
hex2dcc720

48023328 has 48 divisors (see below), whose sum is σ = 126626976. Its totient is φ = 15936000.

The previous prime is 48023293. The next prime is 48023357. The reversal of 48023328 is 82332084.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 48023295 and 48023304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23100 + ... + 25092.

It is an arithmetic number, because the mean of its divisors is an integer number (2638062).

Almost surely, 248023328 is an apocalyptic number.

48023328 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 48023328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63313488).

48023328 is an abundant number, since it is smaller than the sum of its proper divisors (78603648).

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

48023328 is a wasteful number, since it uses less digits than its factorization.

48023328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 48023328 is about 6929.8865791584. The cubic root of 48023328 is about 363.4829837385.

The spelling of 48023328 in words is "forty-eight million, twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 502 753 1004 1506 1993 2008 3012 3986 4016 5979 6024 7972 8032 11958 12048 15944 23916 24096 31888 47832 63776 95664 191328 500243 1000486 1500729 2000972 3001458 4001944 6002916 8003888 12005832 16007776 24011664 48023328