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48965472 = 25362099
BaseRepresentation
bin1011101011001…
…0011101100000
310102010201000000
42322302131200
5100013343342
64505300000
71133125323
oct272623540
9112121000
1048965472
1125704536
1214494600
13a1b556a
1467087ba
15447344c
hex2eb2760

48965472 has 84 divisors (see below), whose sum is σ = 144603900. Its totient is φ = 16314048.

The previous prime is 48965471. The next prime is 48965473. The reversal of 48965472 is 27456984.

It is a happy number.

48965472 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 (48965471) and next prime (48965473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48965471) 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 13 ways as a sum of consecutive naturals, for example, 22279 + ... + 24377.

It is an arithmetic number, because the mean of its divisors is an integer number (1721475).

Almost surely, 248965472 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 48965472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72301950).

48965472 is an abundant number, since it is smaller than the sum of its proper divisors (95638428).

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

48965472 is an equidigital number, since it uses as much as digits as its factorization.

48965472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2104 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 48965472 is about 6997.5332796636. The cubic root of 48965472 is about 365.8445994401.

The spelling of 48965472 in words is "forty-eight million, nine hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2099 2592 2916 3888 4198 5832 6297 7776 8396 11664 12594 16792 18891 23328 25188 33584 37782 50376 56673 67168 75564 100752 113346 151128 170019 201504 226692 302256 340038 453384 510057 604512 680076 906768 1020114 1360152 1530171 1813536 2040228 2720304 3060342 4080456 5440608 6120684 8160912 12241368 16321824 24482736 48965472