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48660960 = 2535101377
BaseRepresentation
bin1011100110100…
…0000111100000
310101120020021210
42321220013200
544424122320
64454550120
71130416455
oct271500740
9111506253
1048660960
1125516777
1214368340
13a109a8a
14666982c
1544130e0
hex2e681e0

48660960 has 48 divisors (see below), whose sum is σ = 153283536. Its totient is φ = 12976128.

The previous prime is 48660959. The next prime is 48660967. The reversal of 48660960 is 6906684.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48660967) 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, 50209 + ... + 51168.

It is an arithmetic number, because the mean of its divisors is an integer number (3193407).

Almost surely, 248660960 is an apocalyptic number.

48660960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48660960 is an abundant number, since it is smaller than the sum of its proper divisors (104622576).

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

48660960 is a wasteful number, since it uses less digits than its factorization.

48660960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101395 (or 101387 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 48660960 is about 6975.7408208734. The cubic root of 48660960 is about 365.0846366561.

The spelling of 48660960 in words is "forty-eight million, six hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 101377 202754 304131 405508 506885 608262 811016 1013770 1216524 1520655 1622032 2027540 2433048 3041310 3244064 4055080 4866096 6082620 8110160 9732192 12165240 16220320 24330480 48660960