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30286752 = 2533110177
BaseRepresentation
bin111001110001…
…0001110100000
32002222201121120
41303202032200
530223134002
63001052240
7515301366
oct163421640
962881546
1030286752
1116106981
12a187080
136375672
144045636
1529d3cbc
hex1ce23a0

30286752 has 48 divisors (see below), whose sum is σ = 82075392. Its totient is φ = 9768960.

The previous prime is 30286709. The next prime is 30286771. The reversal of 30286752 is 25768203.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2113 + ... + 8064.

It is an arithmetic number, because the mean of its divisors is an integer number (1709904).

Almost surely, 230286752 is an apocalyptic number.

30286752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30286752 is an abundant number, since it is smaller than the sum of its proper divisors (51788640).

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

30286752 is a wasteful number, since it uses less digits than its factorization.

30286752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10221 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 30286752 is about 5503.3400767170. The cubic root of 30286752 is about 311.7101186554.

The spelling of 30286752 in words is "thirty million, two hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 10177 20354 30531 40708 61062 81416 122124 162832 244248 315487 325664 488496 630974 946461 976992 1261948 1892922 2523896 3785844 5047792 7571688 10095584 15143376 30286752