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48560960 = 2657219163
BaseRepresentation
bin1011100100111…
…1101101000000
310101101011010002
42321033231000
544412422320
64452455132
71126522100
oct271175500
9111334102
1048560960
1125458628
121431a4a8
13a0a33c6
146641200
1543e3675
hex2e4fb40

48560960 has 168 divisors, whose sum is σ = 142463520. Its totient is φ = 15676416.

The previous prime is 48560951. The next prime is 48560969. The reversal of 48560960 is 6906584.

48560960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48560951) and next prime (48560969).

It is a super-2 number, since 2×485609602 = 4716333672243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48560969) 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 23 ways as a sum of consecutive naturals, for example, 297839 + ... + 298001.

Almost surely, 248560960 is an apocalyptic number.

48560960 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 48560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71231760).

48560960 is an abundant number, since it is smaller than the sum of its proper divisors (93902560).

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

48560960 is a wasteful number, since it uses less digits than its factorization.

48560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 48560960 is about 6968.5694371227. The cubic root of 48560960 is about 364.8343778518.

The spelling of 48560960 in words is "forty-eight million, five hundred sixty thousand, nine hundred sixty".