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48984048 = 2433149761
BaseRepresentation
bin1011101011011…
…0111111110000
310102011122111000
42322312333300
5100014442143
64505522000
71133233431
oct272667760
9112148430
1048984048
1125717493
12144a3300
13a1c0b59
146711488
154478bd3
hex2eb6ff0

48984048 has 80 divisors (see below), whose sum is σ = 141732000. Its totient is φ = 16197120.

The previous prime is 48984007. The next prime is 48984083. The reversal of 48984048 is 84048984.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48983994 and 48984012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63988 + ... + 64748.

It is an arithmetic number, because the mean of its divisors is an integer number (1771650).

Almost surely, 248984048 is an apocalyptic number.

48984048 is a gapful number since it is divisible by the number (48) 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 48984048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70866000).

48984048 is an abundant number, since it is smaller than the sum of its proper divisors (92747952).

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

48984048 is a wasteful number, since it uses less digits than its factorization.

48984048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 48984048 is about 6998.8604786779. The cubic root of 48984048 is about 365.8908570021.

The spelling of 48984048 in words is "forty-eight million, nine hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 149 216 298 432 447 596 761 894 1192 1341 1522 1788 2283 2384 2682 3044 3576 4023 4566 5364 6088 6849 7152 8046 9132 10728 12176 13698 16092 18264 20547 21456 27396 32184 36528 41094 54792 64368 82188 109584 113389 164376 226778 328752 340167 453556 680334 907112 1020501 1360668 1814224 2041002 2721336 3061503 4082004 5442672 6123006 8164008 12246012 16328016 24492024 48984048