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30001888 = 257151887
BaseRepresentation
bin111001001110…
…0101011100000
32002110020212001
41302130223200
530140030023
62551013344
7513004030
oct162345340
962406761
1030001888
1115a31954
12a06a254
1362a5ac7
143dad8c0
1529796ad
hex1c9cae0

30001888 has 48 divisors (see below), whose sum is σ = 68027904. Its totient is φ = 12758400.

The previous prime is 30001877. The next prime is 30001891. The reversal of 30001888 is 88810003.

It is a super-2 number, since 2×300018882 = 1800226567129088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33381 + ... + 34267.

It is an arithmetic number, because the mean of its divisors is an integer number (1417248).

Almost surely, 230001888 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 30001888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34013952).

30001888 is an abundant number, since it is smaller than the sum of its proper divisors (38026016).

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

30001888 is a wasteful number, since it uses less digits than its factorization.

30001888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 30001888 is about 5477.3979223715. The cubic root of 30001888 is about 310.7297687420.

The spelling of 30001888 in words is "thirty million, one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 604 887 1057 1208 1774 2114 2416 3548 4228 4832 6209 7096 8456 12418 14192 16912 24836 28384 33824 49672 99344 133937 198688 267874 535748 937559 1071496 1875118 2142992 3750236 4285984 7500472 15000944 30001888