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49045128 = 23311375021
BaseRepresentation
bin1011101100010…
…1111010001000
310102021202021020
42323011322020
5100023421003
64511112440
71133606466
oct273057210
9112252236
1049045128
1125759370
1214512720
13a2128b2
146729836
15448bd53
hex2ec5e88

49045128 has 64 divisors (see below), whose sum is σ = 137401920. Its totient is φ = 14457600.

The previous prime is 49045103. The next prime is 49045133. The reversal of 49045128 is 82154094.

49045128 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 (33).

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, 7258 + ... + 12278.

It is an arithmetic number, because the mean of its divisors is an integer number (2146905).

Almost surely, 249045128 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 49045128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68700960).

49045128 is an abundant number, since it is smaller than the sum of its proper divisors (88356792).

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

49045128 is a wasteful number, since it uses less digits than its factorization.

49045128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 49045128 is about 7003.2226867350. Note that the first 3 decimals coincide. The cubic root of 49045128 is about 366.0428747288.

The spelling of 49045128 in words is "forty-nine million, forty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 5021 9768 10042 15063 20084 30126 40168 55231 60252 110462 120504 165693 185777 220924 331386 371554 441848 557331 662772 743108 1114662 1325544 1486216 2043547 2229324 4087094 4458648 6130641 8174188 12261282 16348376 24522564 49045128