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49050960 = 2435724397
BaseRepresentation
bin1011101100011…
…1010101010000
310102022001021020
42323013111100
5100024112320
64511155440
71133632500
oct273072520
9112261236
1049050960
1125762792
1214515b80
13a21544a
14672ba00
15448d940
hex2ec7550

49050960 has 240 divisors, whose sum is σ = 182863296. Its totient is φ = 10838016.

The previous prime is 49050943. The next prime is 49050979. The reversal of 49050960 is 6905094.

It is a happy number.

49050960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 505632 + ... + 505728.

Almost surely, 249050960 is an apocalyptic number.

49050960 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 49050960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91431648).

49050960 is an abundant number, since it is smaller than the sum of its proper divisors (133812336).

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

49050960 is a wasteful number, since it uses less digits than its factorization.

49050960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 49050960 is about 7003.6390540918. The cubic root of 49050960 is about 366.0573829822.

The spelling of 49050960 in words is "forty-nine million, fifty thousand, nine hundred sixty".