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48140976 = 24313179431
BaseRepresentation
bin1011011110100…
…1001010110000
310100120211000010
42313221022300
544311002401
64435454520
71123122462
oct267511260
9110524003
1048140976
11251a1034
1214157440
139c871b0
146572132
15435ded6
hex2de92b0

48140976 has 80 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 14695680.

The previous prime is 48140969. The next prime is 48140987. The reversal of 48140976 is 67904184.

It is a happy number.

48140976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 111481 + ... + 111911.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 248140976 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 48140976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

48140976 is an abundant number, since it is smaller than the sum of its proper divisors (86850384).

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

48140976 is a wasteful number, since it uses less digits than its factorization.

48140976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 48140976 is about 6938.3698373609. The cubic root of 48140976 is about 363.7795630252.

The spelling of 48140976 in words is "forty-eight million, one hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 179 208 312 358 431 537 624 716 862 1074 1293 1432 1724 2148 2327 2586 2864 3448 4296 4654 5172 5603 6896 6981 8592 9308 10344 11206 13962 16809 18616 20688 22412 27924 33618 37232 44824 55848 67236 77149 89648 111696 134472 154298 231447 268944 308596 462894 617192 925788 1002937 1234384 1851576 2005874 3008811 3703152 4011748 6017622 8023496 12035244 16046992 24070488 48140976