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30054528 = 273273727
BaseRepresentation
bin111001010100…
…1100010000000
32002112221001200
41302221202000
530143221103
62552101200
7513313350
oct162514200
962487050
1030054528
1115a68459
12a094800
1362c3a5a
143dc4b60
15298a0a3
hex1ca9880

30054528 has 96 divisors (see below), whose sum is σ = 98866560. Its totient is φ = 8584704.

The previous prime is 30054503. The next prime is 30054533. The reversal of 30054528 is 82545003.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6201 + ... + 9927.

It is an arithmetic number, because the mean of its divisors is an integer number (1029860).

Almost surely, 230054528 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 30054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49433280).

30054528 is an abundant number, since it is smaller than the sum of its proper divisors (68812032).

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

30054528 is a wasteful number, since it uses less digits than its factorization.

30054528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 30054528 is about 5482.2010178395. The cubic root of 30054528 is about 310.9113935120.

The spelling of 30054528 in words is "thirty million, fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 3727 4032 7454 8064 11181 14908 22362 26089 29816 33543 44724 52178 59632 67086 78267 89448 104356 119264 134172 156534 178896 208712 234801 238528 268344 313068 357792 417424 469602 477056 536688 626136 715584 834848 939204 1073376 1252272 1431168 1669696 1878408 2146752 2504544 3339392 3756816 4293504 5009088 7513632 10018176 15027264 30054528