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48338048 = 271123121
BaseRepresentation
bin1011100001100…
…1010010000000
310100221211100002
42320121102000
544333304143
64444015132
71124603153
oct270312200
9110854302
1048338048
1125316100
12142314a8
13a025ac5
1465c3c9a
15439c5b8
hex2e19480

48338048 has 48 divisors (see below), whose sum is σ = 105882630. Its totient is φ = 21964800.

The previous prime is 48338029. The next prime is 48338053. The reversal of 48338048 is 84083384.

It can be written as a sum of positive squares in only one way, i.e., 48330304 + 7744 = 6952^2 + 88^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13928 + ... + 17048.

Almost surely, 248338048 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 48338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52941315).

48338048 is an abundant number, since it is smaller than the sum of its proper divisors (57544582).

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

48338048 is a wasteful number, since it uses less digits than its factorization.

48338048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 48338048 is about 6952.5569397165. The cubic root of 48338048 is about 364.2752818381.

The spelling of 48338048 in words is "forty-eight million, three hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3121 3872 6242 7744 12484 15488 24968 34331 49936 68662 99872 137324 199744 274648 377641 399488 549296 755282 1098592 1510564 2197184 3021128 4394368 6042256 12084512 24169024 48338048