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49973064 = 23317532311
BaseRepresentation
bin1011111010100…
…0011101001000
310111000220011020
42332220131020
5100243114224
64543032440
71144523031
oct276503510
9114026136
1049973064
1126232559
121489b720
13a47907b
1468cba88
1545c1c79
hex2fa8748

49973064 has 64 divisors (see below), whose sum is σ = 134835840. Its totient is φ = 15375360.

The previous prime is 49973057. The next prime is 49973069. The reversal of 49973064 is 46037994.

49973064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49973069) by changing a digit.

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, 20469 + ... + 22779.

It is an arithmetic number, because the mean of its divisors is an integer number (2106810).

Almost surely, 249973064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49973064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67417920).

49973064 is an abundant number, since it is smaller than the sum of its proper divisors (84862776).

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

49973064 is a wasteful number, since it uses less digits than its factorization.

49973064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 49973064 is about 7069.1628924506. The cubic root of 49973064 is about 368.3369825991.

The spelling of 49973064 in words is "forty-nine million, nine hundred seventy-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1272 1802 2311 2703 3604 4622 5406 6933 7208 9244 10812 13866 18488 21624 27732 39287 55464 78574 117861 122483 157148 235722 244966 314296 367449 471444 489932 734898 942888 979864 1469796 2082211 2939592 4164422 6246633 8328844 12493266 16657688 24986532 49973064