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48909696 = 2731111579
BaseRepresentation
bin1011101010010…
…0110110000000
310102000212111020
42322210312000
5100010102241
64504145440
71132503603
oct272446600
9112025436
1048909696
1125676640
1214468280
13a196064
1466d233a
154461b66
hex2ea4d80

48909696 has 64 divisors (see below), whose sum is σ = 141739200. Its totient is φ = 14819840.

The previous prime is 48909691. The next prime is 48909703. The reversal of 48909696 is 69690984.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48909691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1566 + ... + 10013.

It is an arithmetic number, because the mean of its divisors is an integer number (2214675).

Almost surely, 248909696 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 48909696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70869600).

48909696 is an abundant number, since it is smaller than the sum of its proper divisors (92829504).

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

48909696 is a wasteful number, since it uses less digits than its factorization.

48909696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607 (or 11595 counting only the distinct ones).

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

The square root of 48909696 is about 6993.5467396737. The cubic root of 48909696 is about 365.7056368862.

The spelling of 48909696 in words is "forty-eight million, nine hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 11579 23158 34737 46316 69474 92632 127369 138948 185264 254738 277896 370528 382107 509476 555792 741056 764214 1018952 1111584 1482112 1528428 2037904 2223168 3056856 4075808 4446336 6113712 8151616 12227424 16303232 24454848 48909696