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48940200 = 2335521953
BaseRepresentation
bin1011101010110…
…0010010101000
310102002102100000
42322230102220
5100012041300
64504543000
71132661541
oct272542250
9112072300
1048940200
1125697551
1214481a60
13a1a6bca
1466dd4c8
15446ac00
hex2eac4a8

48940200 has 288 divisors, whose sum is σ = 182800800. Its totient is φ = 12130560.

The previous prime is 48940193. The next prime is 48940201. The reversal of 48940200 is 204984.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48940201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 923374 + ... + 923426.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 248940200 is an apocalyptic number.

48940200 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 48940200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

48940200 is an abundant number, since it is smaller than the sum of its proper divisors (133860600).

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

48940200 is a wasteful number, since it uses less digits than its factorization.

48940200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48940200 is about 6995.7272674112. The cubic root of 48940200 is about 365.7816488519.

The spelling of 48940200 in words is "forty-eight million, nine hundred forty thousand, two hundred".