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49006984 = 23132916249
BaseRepresentation
bin1011101011110…
…0100110001000
310102012210221111
42322330212020
5100021210414
64510220104
71133360335
oct272744610
9112183844
1049006984
1125732744
12144b4634
13a1cb420
14671998c
1544808c4
hex2ebc988

49006984 has 32 divisors (see below), whose sum is σ = 102375000. Its totient is φ = 21837312.

The previous prime is 49006967. The next prime is 49006987. The reversal of 49006984 is 48960094.

49006984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36602500 + 12404484 = 6050^2 + 3522^2 .

It is not an unprimeable number, because it can be changed into a prime (49006987) 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 7 ways as a sum of consecutive naturals, for example, 5109 + ... + 11140.

Almost surely, 249006984 is an apocalyptic number.

It is an amenable number.

49006984 is an abundant number, since it is smaller than the sum of its proper divisors (53368016).

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

49006984 is a wasteful number, since it uses less digits than its factorization.

49006984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16297 (or 16293 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 49006984 is about 7000.4988393685. The cubic root of 49006984 is about 365.9479556125.

The spelling of 49006984 in words is "forty-nine million, six thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 16249 32498 64996 129992 211237 422474 471221 844948 942442 1689896 1884884 3769768 6125873 12251746 24503492 49006984