Search a number
-
+
49426200 = 233752113
BaseRepresentation
bin1011110010001…
…0111100011000
310110000010000000
42330202330120
5100123114300
64523213000
71140054465
oct274427430
9113003000
1049426200
11259996aa
1214677160
13a317195
1467c866c
154514c00
hex2f22f18

49426200 has 192 divisors, whose sum is σ = 173872800. Its totient is φ = 13063680.

The previous prime is 49426199. The next prime is 49426219. The reversal of 49426200 is 262494.

49426200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437344 + ... + 437456.

Almost surely, 249426200 is an apocalyptic number.

49426200 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 49426200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86936400).

49426200 is an abundant number, since it is smaller than the sum of its proper divisors (124446600).

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

49426200 is a wasteful number, since it uses less digits than its factorization.

49426200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 49426200 is about 7030.3769457974. The cubic root of 49426200 is about 366.9884594717.

Adding to 49426200 its reverse (262494), we get a palindrome (49688694).

The spelling of 49426200 in words is "forty-nine million, four hundred twenty-six thousand, two hundred".