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48915360 = 2533513267
BaseRepresentation
bin1011101010011…
…0001110100000
310102001011021000
42322212032200
5100010242420
64504232000
71132526244
oct272461640
9112034230
1048915360
112567a91a
121446b600
13a198800
1466d4424
154463690
hex2ea63a0

48915360 has 288 divisors, whose sum is σ = 188153280. Its totient is φ = 11860992.

The previous prime is 48915331. The next prime is 48915401. The reversal of 48915360 is 6351984.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730047 + ... + 730113.

It is an arithmetic number, because the mean of its divisors is an integer number (653310).

Almost surely, 248915360 is an apocalyptic number.

48915360 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 48915360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94076640).

48915360 is an abundant number, since it is smaller than the sum of its proper divisors (139237920).

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

48915360 is a wasteful number, since it uses less digits than its factorization.

48915360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 48915360 is about 6993.9516726955. The cubic root of 48915360 is about 365.7197532200.

The spelling of 48915360 in words is "forty-eight million, nine hundred fifteen thousand, three hundred sixty".