Search a number
-
+
39328146 = 23311213463
BaseRepresentation
bin1001011000000…
…1100110010010
32202000002002000
42112001212102
540032000041
63522534430
7655166214
oct226014622
982002060
1039328146
1120221900
1211207416
1381bcac0
14531a5b4
1536bcbb6
hex2581992

39328146 has 96 divisors (see below), whose sum is σ = 103676160. Its totient is φ = 10977120.

The previous prime is 39328117. The next prime is 39328193. The reversal of 39328146 is 64182393.

It is a self number, because there is not a number n which added to its sum of digits gives 39328146.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84711 + ... + 85173.

It is an arithmetic number, because the mean of its divisors is an integer number (1079960).

Almost surely, 239328146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39328146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51838080).

39328146 is an abundant number, since it is smaller than the sum of its proper divisors (64348014).

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

39328146 is a wasteful number, since it uses less digits than its factorization.

39328146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 39328146 is about 6271.2156716222. The cubic root of 39328146 is about 340.0696108912.

The spelling of 39328146 in words is "thirty-nine million, three hundred twenty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 121 143 198 234 242 286 297 351 363 429 463 594 702 726 858 926 1089 1287 1389 1573 2178 2574 2778 3146 3267 3861 4167 4719 5093 6019 6534 7722 8334 9438 10186 12038 12501 14157 15279 18057 25002 28314 30558 36114 42471 45837 54171 56023 66209 84942 91674 108342 112046 132418 137511 162513 168069 198627 275022 325026 336138 397254 504207 595881 728299 1008414 1191762 1456598 1512621 1787643 2184897 3025242 3575286 4369794 6554691 13109382 19664073 39328146