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39053056 = 287193137
BaseRepresentation
bin1001010011111…
…0011100000000
32201111002201111
42110332130000
534444144211
63513013104
7652642210
oct224763400
981432644
1039053056
1120054159
12110b4194
138124823
145288240
153666421
hex253e700

39053056 has 144 divisors (see below), whose sum is σ = 99420160. Its totient is φ = 14929920.

The previous prime is 39053051. The next prime is 39053059. The reversal of 39053056 is 65035093.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39053051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1055470 + ... + 1055506.

Almost surely, 239053056 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 39053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49710080).

39053056 is an abundant number, since it is smaller than the sum of its proper divisors (60367104).

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

39053056 is a wasteful number, since it uses less digits than its factorization.

39053056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 31.

The square root of 39053056 is about 6249.2444343296. The cubic root of 39053056 is about 339.2748559131.

The spelling of 39053056 in words is "thirty-nine million, fifty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 37 38 56 62 64 74 76 112 124 128 133 148 152 217 224 248 256 259 266 296 304 434 448 496 518 532 589 592 608 703 868 896 992 1036 1064 1147 1178 1184 1216 1406 1736 1792 1984 2072 2128 2294 2356 2368 2432 2812 3472 3968 4123 4144 4256 4588 4712 4736 4864 4921 5624 6944 7936 8029 8246 8288 8512 9176 9424 9472 9842 11248 13888 16058 16492 16576 17024 18352 18848 19684 21793 22496 27776 32116 32984 33152 34048 36704 37696 39368 43586 44992 55552 64232 65968 66304 73408 75392 78736 87172 89984 128464 131936 146816 150784 152551 157472 174344 179968 256928 263872 293632 305102 314944 348688 513856 527744 610204 629888 697376 1027712 1055488 1220408 1259776 1394752 2055424 2440816 2789504 4881632 5579008 9763264 19526528 39053056