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49429328 = 24131671423
BaseRepresentation
bin1011110010001…
…1101101010000
310110000021021212
42330203231100
5100123214303
64523235252
71140066554
oct274435520
9113007255
1049429328
11259a0a93
1214678b28
13a318730
1467c9864
154515ad8
hex2f23b50

49429328 has 40 divisors (see below), whose sum is σ = 103826688. Its totient is φ = 22660992.

The previous prime is 49429327. The next prime is 49429333. The reversal of 49429328 is 82392494.

49429328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49429321) 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, 34025 + ... + 35447.

Almost surely, 249429328 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 49429328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51913344).

49429328 is an abundant number, since it is smaller than the sum of its proper divisors (54397360).

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

49429328 is a wasteful number, since it uses less digits than its factorization.

49429328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1605 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 49429328 is about 7030.5994054561. The cubic root of 49429328 is about 366.9962010857.

The spelling of 49429328 in words is "forty-nine million, four hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 167 208 334 668 1336 1423 2171 2672 2846 4342 5692 8684 11384 17368 18499 22768 34736 36998 73996 147992 237641 295984 475282 950564 1901128 3089333 3802256 6178666 12357332 24714664 49429328