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30583072 = 251373517
BaseRepresentation
bin111010010101…
…0100100100000
32010112210002101
41310222210200
530312124242
63011300144
7520644322
oct164524440
963483071
1030583072
1116299573
12a2aa654
13644a4c0
1440c1612
152a419b7
hex1d2a920

30583072 has 24 divisors (see below), whose sum is σ = 64842876. Its totient is φ = 14115072.

The previous prime is 30583057. The next prime is 30583079. The reversal of 30583072 is 27038503.

It can be written as a sum of positive squares in 2 ways, for example, as 30426256 + 156816 = 5516^2 + 396^2 .

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 30583072.

It is not an unprimeable number, because it can be changed into a prime (30583079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36343 + ... + 37174.

Almost surely, 230583072 is an apocalyptic number.

30583072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30583072 is an abundant number, since it is smaller than the sum of its proper divisors (34259804).

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

30583072 is a wasteful number, since it uses less digits than its factorization.

30583072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73540 (or 73532 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 30583072 is about 5530.1963798766. The cubic root of 30583072 is about 312.7233926949.

The spelling of 30583072 in words is "thirty million, five hundred eighty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 73517 147034 294068 588136 955721 1176272 1911442 2352544 3822884 7645768 15291536 30583072