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49829480 = 2353533529
BaseRepresentation
bin1011111000010…
…1011001101000
310110202121012022
42332011121220
5100224020410
64540004012
71143354311
oct276053150
9113677168
1049829480
1126144698
1214830608
13a4288cc
146891608
154594455
hex2f85668

49829480 has 32 divisors (see below), whose sum is σ = 112465800. Its totient is φ = 19869696.

The previous prime is 49829471. The next prime is 49829513. The reversal of 49829480 is 8492894.

It is a happy number.

49829480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 70592-1.

It can be written as a sum of positive squares in 4 ways, for example, as 26770276 + 23059204 = 5174^2 + 4802^2 .

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 7 ways as a sum of consecutive naturals, for example, 12356 + ... + 15884.

Almost surely, 249829480 is an apocalyptic number.

49829480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49829480 is an abundant number, since it is smaller than the sum of its proper divisors (62636320).

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

49829480 is a wasteful number, since it uses less digits than its factorization.

49829480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 49829480 is about 7058.9999291684. Note that the first 4 decimals coincide. The cubic root of 49829480 is about 367.9838721665.

The spelling of 49829480 in words is "forty-nine million, eight hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 353 706 1412 1765 2824 3529 3530 7058 7060 14116 14120 17645 28232 35290 70580 141160 1245737 2491474 4982948 6228685 9965896 12457370 24914740 49829480