Search a number
-
+
64202016 = 2532329077
BaseRepresentation
bin1111010011101…
…0010100100000
311110210210121110
43310322110200
5112413431031
610212023320
71406464614
oct364722440
9143723543
1064202016
1133270a1a
1219601b40
13103bb778
148753344
155982c46
hex3d3a520

64202016 has 48 divisors (see below), whose sum is σ = 175863744. Its totient is φ = 20469504.

The previous prime is 64201999. The next prime is 64202051. The reversal of 64202016 is 61020246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 64201983 and 64202001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12331 + ... + 16746.

It is an arithmetic number, because the mean of its divisors is an integer number (3663828).

Almost surely, 264202016 is an apocalyptic number.

It is an amenable number.

64202016 is an abundant number, since it is smaller than the sum of its proper divisors (111661728).

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

64202016 is a wasteful number, since it uses less digits than its factorization.

64202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29113 (or 29105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 64202016 is about 8012.6160522017. The cubic root of 64202016 is about 400.4204246197.

The spelling of 64202016 in words is "sixty-four million, two hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 29077 58154 87231 116308 174462 232616 348924 465232 668771 697848 930464 1337542 1395696 2006313 2675084 2791392 4012626 5350168 8025252 10700336 16050504 21400672 32101008 64202016