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39069072 = 243274113
BaseRepresentation
bin1001010100001…
…0010110010000
32201111220200200
42111002112100
540000202242
63513215200
7653040000
oct225022620
981456620
1039069072
1120065199
1211101500
13812bbc3
145290000
15366b04c
hex2542590

39069072 has 150 divisors (see below), whose sum is σ = 128683542. Its totient is φ = 11063808.

The previous prime is 39069067. The next prime is 39069101. The reversal of 39069072 is 27096093.

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 16941456 = 4704^2 + 4116^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345688 + ... + 345800.

Almost surely, 239069072 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 39069072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64341771).

39069072 is an abundant number, since it is smaller than the sum of its proper divisors (89614470).

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

39069072 is a wasteful number, since it uses less digits than its factorization.

39069072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 39069072 is about 6250.5257378880. The cubic root of 39069072 is about 339.3212294367.

The spelling of 39069072 in words is "thirty-nine million, sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 113 126 144 147 168 196 226 252 294 336 339 343 392 441 452 504 588 678 686 784 791 882 904 1008 1017 1029 1176 1356 1372 1582 1764 1808 2034 2058 2352 2373 2401 2712 2744 3087 3164 3528 4068 4116 4746 4802 5424 5488 5537 6174 6328 7056 7119 7203 8136 8232 9492 9604 11074 12348 12656 14238 14406 16272 16464 16611 18984 19208 21609 22148 24696 28476 28812 33222 37968 38416 38759 43218 44296 49392 49833 56952 57624 66444 77518 86436 88592 99666 113904 115248 116277 132888 155036 172872 199332 232554 265776 271313 310072 345744 348831 398664 465108 542626 620144 697662 797328 813939 930216 1085252 1395324 1627878 1860432 2170504 2441817 2790648 3255756 4341008 4883634 5581296 6511512 9767268 13023024 19534536 39069072