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30252672 = 273226261
BaseRepresentation
bin111001101100…
…1111010000000
32002220222212100
41303121322000
530221041142
63000230400
7515100132
oct163317200
962828770
1030252672
111609330a
12a16b400
136362cb8
144037052
1529c8b4c
hex1cd9e80

30252672 has 48 divisors (see below), whose sum is σ = 87058530. Its totient is φ = 10083840.

The previous prime is 30252667. The next prime is 30252679. The reversal of 30252672 is 27625203.

It can be written as a sum of positive squares in only one way, i.e., 30206016 + 46656 = 5496^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (30252679) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11979 + ... + 14282.

Almost surely, 230252672 is an apocalyptic number.

30252672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30252672 is an abundant number, since it is smaller than the sum of its proper divisors (56805858).

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

30252672 is a wasteful number, since it uses less digits than its factorization.

30252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26281 (or 26266 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30252672 is about 5500.2429037271. The cubic root of 30252672 is about 311.5931580796.

Adding to 30252672 its reverse (27625203), we get a palindrome (57877875).

The spelling of 30252672 in words is "thirty million, two hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 26261 52522 78783 105044 157566 210088 236349 315132 420176 472698 630264 840352 945396 1260528 1680704 1890792 2521056 3361408 3781584 5042112 7563168 10084224 15126336 30252672