Search a number
-
+
49926480 = 2435277751
BaseRepresentation
bin1011111001110…
…1000101010000
310110221112020220
42332131011100
5100240121410
64542033040
71144240152
oct276350520
9113845226
1049926480
112620055a
1214878780
13a460ac6
1468b8ad2
1545b3070
hex2f9d150

49926480 has 80 divisors (see below), whose sum is σ = 155537664. Its totient is φ = 13248000.

The previous prime is 49926439. The next prime is 49926511. The reversal of 49926480 is 8462994.

49926480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 66105 + ... + 66855.

Almost surely, 249926480 is an apocalyptic number.

49926480 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 49926480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77768832).

49926480 is an abundant number, since it is smaller than the sum of its proper divisors (105611184).

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

49926480 is a wasteful number, since it uses less digits than its factorization.

49926480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 49926480 is about 7065.8672503805. The cubic root of 49926480 is about 368.2224946261. Note that the first 3 decimals are identical.

The spelling of 49926480 in words is "forty-nine million, nine hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 277 554 751 831 1108 1385 1502 1662 2216 2253 2770 3004 3324 3755 4155 4432 4506 5540 6008 6648 7510 8310 9012 11080 11265 12016 13296 15020 16620 18024 22160 22530 30040 33240 36048 45060 60080 66480 90120 180240 208027 416054 624081 832108 1040135 1248162 1664216 2080270 2496324 3120405 3328432 4160540 4992648 6240810 8321080 9985296 12481620 16642160 24963240 49926480