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49271328 = 253419009
BaseRepresentation
bin1011101111110…
…1001000100000
310102201020120000
42323331020200
5100103140303
64520020000
71135541121
oct273751040
9112636500
1049271328
11258a3307
1214601600
13a291842
146788048
1544d3da3
hex2efd220

49271328 has 60 divisors (see below), whose sum is σ = 144913230. Its totient is φ = 16422912.

The previous prime is 49271317. The next prime is 49271353. The reversal of 49271328 is 82317294.

49271328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34433424 + 14837904 = 5868^2 + 3852^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49271292 and 49271301.

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 9 ways as a sum of consecutive naturals, for example, 6913 + ... + 12096.

Almost surely, 249271328 is an apocalyptic number.

49271328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49271328 is an abundant number, since it is smaller than the sum of its proper divisors (95641902).

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

49271328 is a wasteful number, since it uses less digits than its factorization.

49271328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19031 (or 19014 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 49271328 is about 7019.3538164136. The cubic root of 49271328 is about 366.6047513454.

The spelling of 49271328 in words is "forty-nine million, two hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 19009 38018 57027 76036 114054 152072 171081 228108 304144 342162 456216 513243 608288 684324 912432 1026486 1368648 1539729 1824864 2052972 2737296 3079458 4105944 5474592 6158916 8211888 12317832 16423776 24635664 49271328