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48656832 = 263741883
BaseRepresentation
bin1011100110011…
…1000111000000
310101120000121220
42321213013000
544424004312
64454515040
71130401440
oct271470700
9111500556
1048656832
1125513664
1214365a80
13a107c33
146668120
154411c8c
hex2e671c0

48656832 has 112 divisors (see below), whose sum is σ = 150888192. Its totient is φ = 13547520.

The previous prime is 48656831. The next prime is 48656843. The reversal of 48656832 is 23865684.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48656831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54663 + ... + 55545.

It is an arithmetic number, because the mean of its divisors is an integer number (1347216).

Almost surely, 248656832 is an apocalyptic number.

48656832 is a gapful number since it is divisible by the number (42) 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 48656832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75444096).

48656832 is an abundant number, since it is smaller than the sum of its proper divisors (102231360).

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

48656832 is a wasteful number, since it uses less digits than its factorization.

48656832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 48656832 is about 6975.4449320456. Note that the first 3 decimals coincide. The cubic root of 48656832 is about 365.0743127606.

The spelling of 48656832 in words is "forty-eight million, six hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 883 984 1148 1312 1344 1722 1766 1968 2296 2624 2649 3444 3532 3936 4592 5298 6181 6888 7064 7872 9184 10596 12362 13776 14128 18368 18543 21192 24724 27552 28256 36203 37086 42384 49448 55104 56512 72406 74172 84768 98896 108609 144812 148344 169536 197792 217218 253421 289624 296688 395584 434436 506842 579248 593376 760263 868872 1013684 1158496 1186752 1520526 1737744 2027368 2316992 3041052 3475488 4054736 6082104 6950976 8109472 12164208 16218944 24328416 48656832