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48300032 = 2161167
BaseRepresentation
bin1011100001000…
…0000000000000
310100212220012002
42320100000000
544331100112
64443123132
71124354264
oct270200000
9110786162
1048300032
112529a590
12142134a8
13a011701
1465b40a4
1543911c2
hex2e10000

48300032 has 68 divisors (see below), whose sum is σ = 106953936. Its totient is φ = 21626880.

The previous prime is 48300029. The next prime is 48300041. The reversal of 48300032 is 23000384.

It is a junction number, because it is equal to n+sod(n) for n = 48299977 and 48300013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 720863 + ... + 720929.

It is an arithmetic number, because the mean of its divisors is an integer number (1572852).

Almost surely, 248300032 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 48300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53476968).

48300032 is an abundant number, since it is smaller than the sum of its proper divisors (58653904).

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

48300032 is an frugal number, since it uses more digits than its factorization.

48300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 48300032 is about 6949.8224437751. The cubic root of 48300032 is about 364.1797606655.

The spelling of 48300032 in words is "forty-eight million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 256 268 352 512 536 704 737 1024 1072 1408 1474 2048 2144 2816 2948 4096 4288 5632 5896 8192 8576 11264 11792 16384 17152 22528 23584 32768 34304 45056 47168 65536 68608 90112 94336 137216 180224 188672 274432 360448 377344 548864 720896 754688 1097728 1509376 2195456 3018752 4390912 6037504 12075008 24150016 48300032