Search a number
-
+
64435050 = 23252312149
BaseRepresentation
bin1111010111001…
…1001101101010
311111020122021100
43311303031222
5112443410200
610221022230
71411455201
oct365631552
9144218240
1064435050
1133410009
12196b4976
1310470864
1487b4238
1559cbd00
hex3d7336a

64435050 has 108 divisors (see below), whose sum is σ = 180080550. Its totient is φ = 16516800.

The previous prime is 64435037. The next prime is 64435051. The reversal of 64435050 is 5053446.

64435050 = T134 + T135 + ... + T729.

It can be written as a sum of positive squares in 3 ways, for example, as 34327881 + 30107169 = 5859^2 + 5487^2 .

It is not an unprimeable number, because it can be changed into a prime (64435051) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 432376 + ... + 432524.

Almost surely, 264435050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64435050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90040275).

64435050 is an abundant number, since it is smaller than the sum of its proper divisors (115645500).

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

64435050 is a wasteful number, since it uses less digits than its factorization.

64435050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 64435050 is about 8027.1445732589. The cubic root of 64435050 is about 400.9043081927.

Adding to 64435050 its reverse (5053446), we get a palindrome (69488496).

The spelling of 64435050 in words is "sixty-four million, four hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 149 150 155 186 225 279 298 310 447 450 465 558 745 775 894 930 961 1341 1395 1490 1550 1922 2235 2325 2682 2790 2883 3725 4470 4619 4650 4805 5766 6705 6975 7450 8649 9238 9610 11175 13410 13857 13950 14415 17298 22350 23095 24025 27714 28830 33525 41571 43245 46190 48050 67050 69285 72075 83142 86490 115475 138570 143189 144150 207855 216225 230950 286378 346425 415710 429567 432450 692850 715945 859134 1039275 1288701 1431890 2078550 2147835 2577402 3579725 4295670 6443505 7159450 10739175 12887010 21478350 32217525 64435050