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49428960 = 2535747313
BaseRepresentation
bin1011110010001…
…1100111100000
310110000020210020
42330203213200
5100123211320
64523233440
71140065520
oct274434740
9113006706
1049428960
11259a0789
1214678880
13a318509
1467c9680
154515940
hex2f239e0

49428960 has 192 divisors, whose sum is σ = 182310912. Its totient is φ = 11022336.

The previous prime is 49428959. The next prime is 49428983. The reversal of 49428960 is 6982494.

49428960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 157764 + ... + 158076.

It is an arithmetic number, because the mean of its divisors is an integer number (949536).

Almost surely, 249428960 is an apocalyptic number.

49428960 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 49428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91155456).

49428960 is an abundant number, since it is smaller than the sum of its proper divisors (132881952).

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

49428960 is a wasteful number, since it uses less digits than its factorization.

49428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

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

The square root of 49428960 is about 7030.5732340969. The cubic root of 49428960 is about 366.9952903246.

The spelling of 49428960 in words is "forty-nine million, four hundred twenty-eight thousand, nine hundred sixty".