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48996096 = 283131487
BaseRepresentation
bin1011101011100…
…1111100000000
310102012021000020
42322321330000
5100020333341
64510053440
71133313522
oct272717400
9112167006
1048996096
1125725546
12144aa280
13a1c6496
146715a12
15447c566
hex2eb9f00

48996096 has 72 divisors (see below), whose sum is σ = 131666304. Its totient is φ = 16174080.

The previous prime is 48996071. The next prime is 48996097. The reversal of 48996096 is 69069984.

48996096 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 (48996097) 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, 100365 + ... + 100851.

Almost surely, 248996096 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 48996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65833152).

48996096 is an abundant number, since it is smaller than the sum of its proper divisors (82670208).

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

48996096 is a wasteful number, since it uses less digits than its factorization.

48996096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 48996096 is about 6999.7211373025. The cubic root of 48996096 is about 365.9208524248.

The spelling of 48996096 in words is "forty-eight million, nine hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 487 524 768 786 974 1048 1461 1572 1948 2096 2922 3144 3896 4192 5844 6288 7792 8384 11688 12576 15584 16768 23376 25152 31168 33536 46752 50304 62336 63797 93504 100608 124672 127594 187008 191391 255188 374016 382782 510376 765564 1020752 1531128 2041504 3062256 4083008 6124512 8166016 12249024 16332032 24498048 48996096