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48429128 = 23111314201
BaseRepresentation
bin1011100010111…
…1100001001000
310101010110021102
42320233201020
544344213003
64450000532
71125432536
oct270574110
9111113242
1048429128
1125378580
1214276148
13a0583b7
146609156
1543b9588
hex2e2f848

48429128 has 32 divisors (see below), whose sum is σ = 99839520. Its totient is φ = 21840000.

The previous prime is 48429127. The next prime is 48429131. The reversal of 48429128 is 82192484.

It is a junction number, because it is equal to n+sod(n) for n = 48429091 and 48429100.

It is not an unprimeable number, because it can be changed into a prime (48429127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9428 + ... + 13628.

It is an arithmetic number, because the mean of its divisors is an integer number (3119985).

Almost surely, 248429128 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 48429128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49919760).

48429128 is an abundant number, since it is smaller than the sum of its proper divisors (51410392).

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

48429128 is a wasteful number, since it uses less digits than its factorization.

48429128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4345 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 48429128 is about 6959.1039653105. The cubic root of 48429128 is about 364.5039310933.

The spelling of 48429128 in words is "forty-eight million, four hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 2882 4201 5764 8402 11528 16804 33608 46211 92422 184844 369688 550331 1100662 2201324 4402648 6053641 12107282 24214564 48429128