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30475008 = 28334409
BaseRepresentation
bin111010001000…
…0001100000000
32010100021212000
41310100030000
530300200013
63005104000
7520014264
oct164201400
963307760
1030475008
1116225363
12a258000
136410265
1440940a4
152a1e973
hex1d10300

30475008 has 72 divisors (see below), whose sum is σ = 90140400. Its totient is φ = 10156032.

The previous prime is 30474989. The next prime is 30475009. The reversal of 30475008 is 80057403.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×304750082 = 1857452225200128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30475009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4708 + ... + 9116.

It is an arithmetic number, because the mean of its divisors is an integer number (1251950).

Almost surely, 230475008 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 30475008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45070200).

30475008 is an abundant number, since it is smaller than the sum of its proper divisors (59665392).

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

30475008 is an equidigital number, since it uses as much as digits as its factorization.

30475008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 30475008 is about 5520.4173755252. The cubic root of 30475008 is about 312.3546263566.

The spelling of 30475008 in words is "thirty million, four hundred seventy-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 4409 6912 8818 13227 17636 26454 35272 39681 52908 70544 79362 105816 119043 141088 158724 211632 238086 282176 317448 423264 476172 564352 634896 846528 952344 1128704 1269792 1693056 1904688 2539584 3386112 3809376 5079168 7618752 10158336 15237504 30475008