Search a number
-
+
39328968 = 2337253631
BaseRepresentation
bin1001011000000…
…1110011001000
32202000010012110
42112001303020
540032011333
63522542320
7655201500
oct226016310
982003173
1039328968
1120222488
12112079a0
1381c02a3
14531aa00
1536bd063
hex2581cc8

39328968 has 96 divisors (see below), whose sum is σ = 116717760. Its totient is φ = 11007360.

The previous prime is 39328943. The next prime is 39328981. The reversal of 39328968 is 86982393.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62013 + ... + 62643.

It is an arithmetic number, because the mean of its divisors is an integer number (1215810).

Almost surely, 239328968 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 39328968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58358880).

39328968 is an abundant number, since it is smaller than the sum of its proper divisors (77388792).

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

39328968 is a wasteful number, since it uses less digits than its factorization.

39328968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 39328968 is about 6271.2812088121. The cubic root of 39328968 is about 340.0719801467.

The spelling of 39328968 in words is "thirty-nine million, three hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 371 392 424 588 631 636 742 1113 1176 1262 1272 1484 1893 2226 2524 2597 2968 3786 4417 4452 5048 5194 7572 7791 8834 8904 10388 13251 15144 15582 17668 20776 26502 30919 31164 33443 35336 53004 61838 62328 66886 92757 100329 106008 123676 133772 185514 200658 234101 247352 267544 371028 401316 468202 702303 742056 802632 936404 1404606 1638707 1872808 2809212 3277414 4916121 5618424 6554828 9832242 13109656 19664484 39328968