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48432620 = 22543199283
BaseRepresentation
bin1011100011000…
…0010111101100
310101010122001202
42320300113230
544344320440
64450025032
71125445655
oct270602754
9111118052
1048432620
1125380165
1214278178
13a059b72
14660a52c
1543ba615
hex2e305ec

48432620 has 48 divisors (see below), whose sum is σ = 104966400. Its totient is φ = 18760896.

The previous prime is 48432617. The next prime is 48432661. The reversal of 48432620 is 2623484.

48432620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170999 + ... + 171281.

It is an arithmetic number, because the mean of its divisors is an integer number (2186800).

Almost surely, 248432620 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 48432620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52483200).

48432620 is an abundant number, since it is smaller than the sum of its proper divisors (56533780).

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

48432620 is a wasteful number, since it uses less digits than its factorization.

48432620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 48432620 is about 6959.3548551572. The cubic root of 48432620 is about 364.5126917792.

The spelling of 48432620 in words is "forty-eight million, four hundred thirty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 199 215 283 398 430 566 796 860 995 1132 1415 1990 2830 3980 5660 8557 12169 17114 24338 34228 42785 48676 56317 60845 85570 112634 121690 171140 225268 243380 281585 563170 1126340 2421631 4843262 9686524 12108155 24216310 48432620