Search a number
-
+
285935232 = 27311139487
BaseRepresentation
bin10001000010110…
…000011010000000
3201221001000101210
4101002300122000
51041144411412
644212330120
710041260262
oct2102603200
9657030353
10285935232
11137448410
127b913940
134731505b
1429d91b32
151a18183c
hex110b0680

285935232 has 128 divisors (see below), whose sum is σ = 836236800. Its totient is φ = 85847040.

The previous prime is 285935219. The next prime is 285935311. The reversal of 285935232 is 232539582.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 586893 + ... + 587379.

It is an arithmetic number, because the mean of its divisors is an integer number (6533100).

Almost surely, 2285935232 is an apocalyptic number.

285935232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285935232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418118400).

285935232 is an abundant number, since it is smaller than the sum of its proper divisors (550301568).

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

285935232 is a wasteful number, since it uses less digits than its factorization.

285935232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 285935232 is about 16909.6195107992. The cubic root of 285935232 is about 658.8034887261.

The spelling of 285935232 in words is "two hundred eighty-five million, nine hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 139 176 192 264 278 352 384 417 487 528 556 704 834 974 1056 1112 1408 1461 1529 1668 1948 2112 2224 2922 3058 3336 3896 4224 4448 4587 5357 5844 6116 6672 7792 8896 9174 10714 11688 12232 13344 15584 16071 17792 18348 21428 23376 24464 26688 31168 32142 36696 42856 46752 48928 53376 62336 64284 67693 73392 85712 93504 97856 128568 135386 146784 171424 187008 195712 203079 257136 270772 293568 342848 406158 514272 541544 587136 685696 744623 812316 1028544 1083088 1489246 1624632 2057088 2166176 2233869 2978492 3249264 4332352 4467738 5956984 6498528 8664704 8935476 11913968 12997056 17870952 23827936 25994112 35741904 47655872 71483808 95311744 142967616 285935232