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49420800 = 2933521113
BaseRepresentation
bin1011110010000…
…1101000000000
310102222211121000
42330201220000
5100122431200
64523132000
71140032652
oct274415000
9112884530
1049420800
1125995640
1214674000
13a3148a0
1467c66d2
154513300
hex2f21a00

49420800 has 480 divisors, whose sum is σ = 213111360. Its totient is φ = 11059200.

The previous prime is 49420753. The next prime is 49420807. The reversal of 49420800 is 802494.

It is a tau number, because it is divible by the number of its divisors (480).

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 (49420807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801594 + ... + 3801606.

It is an arithmetic number, because the mean of its divisors is an integer number (443982).

Almost surely, 249420800 is an apocalyptic number.

49420800 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 49420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

49420800 is an abundant number, since it is smaller than the sum of its proper divisors (163690560).

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

49420800 is a wasteful number, since it uses less digits than its factorization.

49420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

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

The square root of 49420800 is about 7029.9928876209. The cubic root of 49420800 is about 366.9750940242.

The spelling of 49420800 in words is "forty-nine million, four hundred twenty thousand, eight hundred".