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39030048 = 2532532557
BaseRepresentation
bin1001010011100…
…0110100100000
32201102221011100
42110320310200
534442430143
63512314400
7652515141
oct224706440
981387140
1039030048
1120038942
12110a2a00
138117205
14527dac8
15365e6d3
hex2538d20

39030048 has 72 divisors (see below), whose sum is σ = 113130108. Its totient is φ = 12759552.

The previous prime is 39030041. The next prime is 39030059. The reversal of 39030048 is 84003093.

Added to its reverse (84003093) it gives a triangular number (123033141 = T15686).

It can be written as a sum of positive squares in 2 ways, for example, as 38787984 + 242064 = 6228^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (39030041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13986 + ... + 16542.

Almost surely, 239030048 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 39030048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56565054).

39030048 is an abundant number, since it is smaller than the sum of its proper divisors (74100060).

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

39030048 is a wasteful number, since it uses less digits than its factorization.

39030048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 39030048 is about 6247.4033005722. The cubic root of 39030048 is about 339.2082152098.

Adding to 39030048 its reverse (84003093), we get a triangular number (123033141 = T15686).

The spelling of 39030048 in words is "thirty-nine million, thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 2557 3816 5088 5114 7632 7671 10228 15264 15342 20456 23013 30684 40912 46026 61368 81824 92052 122736 135521 184104 245472 271042 368208 406563 542084 736416 813126 1084168 1219689 1626252 2168336 2439378 3252504 4336672 4878756 6505008 9757512 13010016 19515024 39030048