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30047688 = 23321123449
BaseRepresentation
bin111001010011…
…1110111001000
32002112120200100
41302213313020
530143011223
62552005400
7513254406
oct162476710
962476610
1030047688
1115a63300
12a090860
1362c08c8
143dc2476
152988043
hex1ca7dc8

30047688 has 72 divisors (see below), whose sum is σ = 89475750. Its totient is φ = 9102720.

The previous prime is 30047671. The next prime is 30047701. The reversal of 30047688 is 88674003.

It can be written as a sum of positive squares in only one way, i.e., 30008484 + 39204 = 5478^2 + 198^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6988 + ... + 10436.

Almost surely, 230047688 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 30047688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44737875).

30047688 is an abundant number, since it is smaller than the sum of its proper divisors (59428062).

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

30047688 is a wasteful number, since it uses less digits than its factorization.

30047688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 30047688 is about 5481.5771453114. The cubic root of 30047688 is about 310.8878053271.

The spelling of 30047688 in words is "thirty million, forty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 3449 4356 6898 8712 10347 13796 20694 27592 31041 37939 41388 62082 75878 82776 113817 124164 151756 227634 248328 303512 341451 417329 455268 682902 834658 910536 1251987 1365804 1669316 2503974 2731608 3338632 3755961 5007948 7511922 10015896 15023844 30047688