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49248400 = 2452123121
BaseRepresentation
bin1011101111011…
…1100010010000
310102200002002211
42323313202100
5100101422100
64515321504
71135414225
oct273674220
9112602084
1049248400
1125888063
12145b0294
13a284286
14677d94c
1544cc1ba
hex2ef7890

49248400 has 30 divisors (see below), whose sum is σ = 118320242. Its totient is φ = 19699200.

The previous prime is 49248379. The next prime is 49248401. The reversal of 49248400 is 484294.

It can be written as a sum of positive squares in 3 ways, for example, as 9709456 + 39538944 = 3116^2 + 6288^2 .

It is not an unprimeable number, because it can be changed into a prime (49248401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61161 + ... + 61960.

Almost surely, 249248400 is an apocalyptic number.

49248400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49248400 is an abundant number, since it is smaller than the sum of its proper divisors (69071842).

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

49248400 is a wasteful number, since it uses less digits than its factorization.

49248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123139 (or 123128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 49248400 is about 7017.7204276033. The cubic root of 49248400 is about 366.5478770385.

The spelling of 49248400 in words is "forty-nine million, two hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 123121 246242 492484 615605 984968 1231210 1969936 2462420 3078025 4924840 6156050 9849680 12312100 24624200 49248400