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48142380 = 2235111331181
BaseRepresentation
bin1011011110100…
…1100000101100
310100120212221010
42313221200230
544311024010
64435505220
71123126536
oct267514054
9110525833
1048142380
11251a20a0
1214158210
139c87a20
146572856
15435e620
hex2de982c

48142380 has 192 divisors, whose sum is σ = 164376576. Its totient is φ = 10368000.

The previous prime is 48142379. The next prime is 48142397. The reversal of 48142380 is 8324184.

48142380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 265890 + ... + 266070.

It is an arithmetic number, because the mean of its divisors is an integer number (856128).

Almost surely, 248142380 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 48142380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82188288).

48142380 is an abundant number, since it is smaller than the sum of its proper divisors (116234196).

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

48142380 is a wasteful number, since it uses less digits than its factorization.

48142380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48142380 is about 6938.4710131267. The cubic root of 48142380 is about 363.7830994549.

The spelling of 48142380 in words is "forty-eight million, one hundred forty-two thousand, three hundred eighty".