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30953052 = 22321319592
BaseRepresentation
bin111011000010…
…0111001011100
32011020120121100
41312010321130
530410444202
63023233100
7524045064
oct166047134
964216540
1030953052
1116521539
12a448790
136549a20
14417a3a4
152ab641c
hex1d84e5c

30953052 has 108 divisors (see below), whose sum is σ = 90224680. Its totient is φ = 8869824.

The previous prime is 30953051. The next prime is 30953059. The reversal of 30953052 is 25035903.

It is a super-2 number, since 2×309530522 = 1916182856229408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30953051) 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 35 ways as a sum of consecutive naturals, for example, 524599 + ... + 524657.

Almost surely, 230953052 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 30953052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45112340).

30953052 is an abundant number, since it is smaller than the sum of its proper divisors (59271628).

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

30953052 is a wasteful number, since it uses less digits than its factorization.

30953052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 30953052 is about 5563.5467105076. The cubic root of 30953052 is about 313.9794028168.

Adding to 30953052 its reverse (25035903), we get a palindrome (55988955).

It can be divided in two parts, 309 and 53052, that added together give a square (53361 = 2312).

The spelling of 30953052 in words is "thirty million, nine hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 59 76 78 114 117 118 156 171 177 228 234 236 247 342 354 468 494 531 684 708 741 767 988 1062 1121 1482 1534 2124 2223 2242 2301 2964 3068 3363 3481 4446 4484 4602 6726 6903 6962 8892 9204 10089 10443 13452 13806 13924 14573 20178 20886 27612 29146 31329 40356 41772 43719 45253 58292 62658 66139 87438 90506 125316 131157 132278 135759 174876 181012 198417 262314 264556 271518 396834 407277 524628 543036 595251 793668 814554 859807 1190502 1629108 1719614 2381004 2579421 3439228 5158842 7738263 10317684 15476526 30953052