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48940160 = 275471627
BaseRepresentation
bin1011101010110…
…0010010000000
310102002102021112
42322230102000
5100012041120
64504542452
71132661453
oct272542200
9112072245
1048940160
1125697515
1214481a28
13a1a6b99
1466dd49a
15446abc5
hex2eac480

48940160 has 64 divisors (see below), whose sum is σ = 119560320. Its totient is φ = 19147776.

The previous prime is 48940153. The next prime is 48940163. The reversal of 48940160 is 6104984.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (48940163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29267 + ... + 30893.

It is an arithmetic number, because the mean of its divisors is an integer number (1868130).

Almost surely, 248940160 is an apocalyptic number.

48940160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59780160).

48940160 is an abundant number, since it is smaller than the sum of its proper divisors (70620160).

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

48940160 is a wasteful number, since it uses less digits than its factorization.

48940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 48940160 is about 6995.7244085227. The cubic root of 48940160 is about 365.7815491978.

The spelling of 48940160 in words is "forty-eight million, nine hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1627 1880 3008 3254 3760 6016 6508 7520 8135 13016 15040 16270 26032 30080 32540 52064 65080 76469 104128 130160 152938 208256 260320 305876 382345 520640 611752 764690 1041280 1223504 1529380 2447008 3058760 4894016 6117520 9788032 12235040 24470080 48940160