Search a number
-
+
39106848 = 25311291277
BaseRepresentation
bin1001010100101…
…1100100100000
32201120211111210
42111023210200
540002404343
63514110120
7653255064
oct225134440
981524453
1039106848
1120090610
121111b340
138143161
14529daa4
153677333
hex254b920

39106848 has 96 divisors (see below), whose sum is σ = 115940160. Its totient is φ = 11432960.

The previous prime is 39106813. The next prime is 39106901. The reversal of 39106848 is 84860193.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29986 + ... + 31262.

It is an arithmetic number, because the mean of its divisors is an integer number (1207710).

Almost surely, 239106848 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 39106848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57970080).

39106848 is an abundant number, since it is smaller than the sum of its proper divisors (76833312).

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

39106848 is a wasteful number, since it uses less digits than its factorization.

39106848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 39106848 is about 6253.5468335977. The cubic root of 39106848 is about 339.4305577708.

The spelling of 39106848 in words is "thirty-nine million, one hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1277 1392 1914 2552 2554 2784 3828 3831 5104 5108 7656 7662 10208 10216 14047 15312 15324 20432 28094 30624 30648 37033 40864 42141 56188 61296 74066 84282 111099 112376 122592 148132 168564 222198 224752 296264 337128 407363 444396 449504 592528 674256 814726 888792 1185056 1222089 1348512 1629452 1777584 2444178 3258904 3555168 4888356 6517808 9776712 13035616 19553424 39106848