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38927952 = 243472613
BaseRepresentation
bin1001010001111…
…1111001010000
32201020202010000
42110133321100
534431143302
63510210000
7651611400
oct224377120
981222100
1038927952
111aa79168
1211053900
1380ac8bb
145254800
15363e31c
hex251fe50

38927952 has 150 divisors (see below), whose sum is σ = 131277498. Its totient is φ = 11104128.

The previous prime is 38927927. The next prime is 38927957. The reversal of 38927952 is 25972983.

38927952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 18352656 = 4536^2 + 4284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38927898 and 38927907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38927957) 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 29 ways as a sum of consecutive naturals, for example, 63198 + ... + 63810.

Almost surely, 238927952 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 38927952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65638749).

38927952 is an abundant number, since it is smaller than the sum of its proper divisors (92349546).

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

38927952 is a wasteful number, since it uses less digits than its factorization.

38927952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 625 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 38927952 is about 6239.2268751825. The cubic root of 38927952 is about 338.9121865118.

The spelling of 38927952 in words is "thirty-eight million, nine hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 613 648 756 784 882 1008 1134 1176 1226 1296 1323 1512 1764 1839 2268 2352 2452 2646 3024 3528 3678 3969 4291 4536 4904 5292 5517 7056 7356 7938 8582 9072 9808 10584 11034 12873 14712 15876 16551 17164 21168 22068 25746 29424 30037 31752 33102 34328 38619 44136 49653 51492 60074 63504 66204 68656 77238 88272 90111 99306 102984 115857 120148 132408 154476 180222 198612 205968 231714 240296 264816 270333 308952 347571 360444 397224 463428 480592 540666 617904 695142 720888 794448 810999 926856 1081332 1390284 1441776 1621998 1853712 2162664 2432997 2780568 3243996 4325328 4865994 5561136 6487992 9731988 12975984 19463976 38927952