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30029538 = 23711219311
BaseRepresentation
bin111001010001…
…1011011100010
32002111122210010
41302203123202
530141421123
62551345350
7513150450
oct162433342
962448703
1030029538
1115a50700
12a082256
1362b5576
143db99d0
152982993
hex1ca36e2

30029538 has 96 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 7365600.

The previous prime is 30029537. The next prime is 30029543. The reversal of 30029538 is 83592003.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30029537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96403 + ... + 96713.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 230029538 is an apocalyptic number.

30029538 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30029538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).

30029538 is an abundant number, since it is smaller than the sum of its proper divisors (49642782).

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

30029538 is a wasteful number, since it uses less digits than its factorization.

30029538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 30029538 is about 5479.9213498006. The cubic root of 30029538 is about 310.8251965149.

The spelling of 30029538 in words is "thirty million, twenty-nine thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 121 133 154 209 231 242 266 311 363 399 418 462 622 627 726 798 847 933 1254 1463 1694 1866 2177 2299 2541 2926 3421 4354 4389 4598 5082 5909 6531 6842 6897 8778 10263 11818 13062 13794 16093 17727 20526 23947 32186 35454 37631 41363 47894 48279 64999 71841 75262 82726 96558 112893 124089 129998 143682 194997 225786 248178 263417 389994 454993 526834 714989 790251 909986 1364979 1429978 1580502 2144967 2729958 4289934 5004923 10009846 15014769 30029538