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30046848 = 273132463
BaseRepresentation
bin111001010011…
…1101010000000
32002112112112020
41302213222000
530142444343
62552001440
7513252066
oct162475200
962475466
1030046848
1115a62707
12a090280
1362c0400
143dc2036
152987b83
hex1ca7a80

30046848 has 96 divisors (see below), whose sum is σ = 86610240. Its totient is φ = 9225216.

The previous prime is 30046801. The next prime is 30046859. The reversal of 30046848 is 84864003.

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

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, 64665 + ... + 65127.

It is an arithmetic number, because the mean of its divisors is an integer number (902190).

Almost surely, 230046848 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 30046848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43305120).

30046848 is an abundant number, since it is smaller than the sum of its proper divisors (56563392).

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

30046848 is a wasteful number, since it uses less digits than its factorization.

30046848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 30046848 is about 5481.5005244914. The cubic root of 30046848 is about 310.8849082857.

The spelling of 30046848 in words is "thirty million, forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 463 507 624 676 832 926 1014 1248 1352 1389 1664 1852 2028 2496 2704 2778 3704 4056 4992 5408 5556 6019 7408 8112 10816 11112 12038 14816 16224 18057 21632 22224 24076 29632 32448 36114 44448 48152 59264 64896 72228 78247 88896 96304 144456 156494 177792 192608 234741 288912 312988 385216 469482 577824 625976 770432 938964 1155648 1251952 1877928 2311296 2503904 3755856 5007808 7511712 10015616 15023424 30046848