Search a number
-
+
3028457538 = 233194171993
BaseRepresentation
bin1011010010000010…
…1001100001000010
321211001120120202000
42310200221201002
522200241120123
61220302204430
7135022315161
oct26440514102
97731516660
103028457538
111314537a77
12706283716
13393569412
1420a2d33d8
1512ad15b43
hexb4829842

3028457538 has 64 divisors (see below), whose sum is σ = 7256995200. Its totient is φ = 933016320.

The previous prime is 3028457533. The next prime is 3028457539. The reversal of 3028457538 is 8357548203.

3028457538 is a `hidden beast` number, since 30 + 2 + 84 + 5 + 7 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3028457493 and 3028457502.

It is not an unprimeable number, because it can be changed into a prime (3028457533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6070 + ... + 78062.

It is an arithmetic number, because the mean of its divisors is an integer number (113390550).

Almost surely, 23028457538 is an apocalyptic number.

3028457538 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3028457538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628497600).

3028457538 is an abundant number, since it is smaller than the sum of its proper divisors (4228537662).

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

3028457538 is a wasteful number, since it uses less digits than its factorization.

3028457538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72064 (or 72058 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 3028457538 is about 55031.4231871210. The cubic root of 3028457538 is about 1446.7955454306.

The spelling of 3028457538 in words is "three billion, twenty-eight million, four hundred fifty-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 82 114 123 171 246 342 369 513 738 779 1026 1107 1558 2214 2337 4674 7011 14022 21033 42066 71993 143986 215979 431958 647937 1295874 1367867 1943811 2735734 2951713 3887622 4103601 5903426 8207202 8855139 12310803 17710278 24621606 26565417 36932409 53130834 56082547 73864818 79696251 112165094 159392502 168247641 336495282 504742923 1009485846 1514228769 3028457538