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48323232 = 2532198831
BaseRepresentation
bin1011100001010…
…1101010100000
310100221002000100
42320111222200
544332320412
64443422400
71124512026
oct270255240
9110832010
1048323232
1125305a61
1214224a00
13a01c139
1465bc716
154397edc
hex2e15aa0

48323232 has 72 divisors (see below), whose sum is σ = 144668160. Its totient is φ = 15258240.

The previous prime is 48323189. The next prime is 48323243. The reversal of 48323232 is 23232384.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 48323196 and 48323205.

It is an unprimeable number.

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, 1057 + ... + 9887.

It is an arithmetic number, because the mean of its divisors is an integer number (2009280).

Almost surely, 248323232 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 48323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72334080).

48323232 is an abundant number, since it is smaller than the sum of its proper divisors (96344928).

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

48323232 is a wasteful number, since it uses less digits than its factorization.

48323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8866 (or 8855 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 48323232 is about 6951.4913507822. The cubic root of 48323232 is about 364.2380602683.

The spelling of 48323232 in words is "forty-eight million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 8831 17662 26493 35324 52986 70648 79479 105972 141296 158958 167789 211944 282592 317916 335578 423888 503367 635832 671156 847776 1006734 1271664 1342312 1510101 2013468 2543328 2684624 3020202 4026936 5369248 6040404 8053872 12080808 16107744 24161616 48323232