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48324132 = 2232172812
BaseRepresentation
bin1011100001010…
…1111000100100
310100221010020200
42320111320210
544332333012
64443430500
71124514453
oct270257044
9110833220
1048324132
11253066aa
1214225430
13a01c67c
1465bcb9a
1543983dc
hex2e15e24

48324132 has 54 divisors (see below), whose sum is σ = 129800034. Its totient is φ = 15106560.

The previous prime is 48324119. The next prime is 48324137. The reversal of 48324132 is 23142384.

It can be written as a sum of positive squares in 3 ways, for example, as 21013056 + 27311076 = 4584^2 + 5226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48324096 and 48324105.

It is not an unprimeable number, because it can be changed into a prime (48324137) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 171832 + ... + 172112.

Almost surely, 248324132 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 48324132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64900017).

48324132 is an abundant number, since it is smaller than the sum of its proper divisors (81475902).

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

48324132 is a wasteful number, since it uses less digits than its factorization.

48324132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 303 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 48324132 is about 6951.5560847914. The cubic root of 48324132 is about 364.2403215148.

The spelling of 48324132 in words is "forty-eight million, three hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 281 306 562 612 843 1124 1686 2529 3372 4777 5058 9554 10116 14331 19108 28662 42993 57324 78961 85986 157922 171972 236883 315844 473766 710649 947532 1342337 1421298 2684674 2842596 4027011 5369348 8054022 12081033 16108044 24162066 48324132