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30028464 = 24321511381
BaseRepresentation
bin111001010001…
…1001010110000
32002111121022100
41302203022300
530141402324
62551340400
7513144354
oct162431260
962447270
1030028464
1115a4a914
12a081700
1362b4c2b
143db9464
1529824c9
hex1ca32b0

30028464 has 60 divisors (see below), whose sum is σ = 84655792. Its totient is φ = 9936000.

The previous prime is 30028457. The next prime is 30028483. The reversal of 30028464 is 46482003.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21054 + ... + 22434.

Almost surely, 230028464 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 30028464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42327896).

30028464 is an abundant number, since it is smaller than the sum of its proper divisors (54627328).

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

30028464 is a wasteful number, since it uses less digits than its factorization.

30028464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30028464 is about 5479.8233548172. The cubic root of 30028464 is about 310.8214909385.

The spelling of 30028464 in words is "thirty million, twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1381 1812 2416 2718 2762 3624 4143 5436 5524 7248 8286 10872 11048 12429 16572 21744 22096 24858 33144 49716 66288 99432 198864 208531 417062 625593 834124 1251186 1668248 1876779 2502372 3336496 3753558 5004744 7507116 10009488 15014232 30028464