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48810240 = 2832519223
BaseRepresentation
bin1011101000110…
…0100100000000
310101211211001200
42322030210000
544443411430
64502101200
71131610623
oct272144400
9111754050
1048810240
1125608946
121441a800
13a15c9cb
1466a7dba
154442460
hex2e8c900

48810240 has 216 divisors, whose sum is σ = 178563840. Its totient is φ = 12275712.

The previous prime is 48810239. The next prime is 48810263. The reversal of 48810240 is 4201884.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218769 + ... + 218991.

Almost surely, 248810240 is an apocalyptic number.

48810240 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 48810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89281920).

48810240 is an abundant number, since it is smaller than the sum of its proper divisors (129753600).

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

48810240 is a wasteful number, since it uses less digits than its factorization.

48810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48810240 is about 6986.4325660526. The cubic root of 48810240 is about 365.4575858580.

The spelling of 48810240 in words is "forty-eight million, eight hundred ten thousand, two hundred forty".