Search a number
-
+
64545408 = 2732431303
BaseRepresentation
bin1111011000111…
…0001010000000
311111110020122200
43312032022000
5113010423113
610223233200
71412425014
oct366161200
9144406580
1064545408
1133485a14
1219748800
13104abb65
148802544
1559ee873
hex3d8e280

64545408 has 96 divisors (see below), whose sum is σ = 190201440. Its totient is φ = 20998656.

The previous prime is 64545389. The next prime is 64545409. The reversal of 64545408 is 80454546.

64545408 is a `hidden beast` number, since 64 + 54 + 540 + 8 = 666.

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

It is a super-2 number, since 2×645454082 = 8332219387772928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64545409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48885 + ... + 50187.

It is an arithmetic number, because the mean of its divisors is an integer number (1981265).

Almost surely, 264545408 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 64545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95100720).

64545408 is an abundant number, since it is smaller than the sum of its proper divisors (125656032).

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

64545408 is a wasteful number, since it uses less digits than its factorization.

64545408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 64545408 is about 8034.0156833305. The cubic root of 64545408 is about 401.1330541072.

The spelling of 64545408 in words is "sixty-four million, five hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1303 1376 1548 2064 2606 2752 3096 3909 4128 5212 5504 6192 7818 8256 10424 11727 12384 15636 16512 20848 23454 24768 31272 41696 46908 49536 56029 62544 83392 93816 112058 125088 166784 168087 187632 224116 250176 336174 375264 448232 500352 504261 672348 750528 896464 1008522 1344696 1501056 1792928 2017044 2689392 3585856 4034088 5378784 7171712 8068176 10757568 16136352 21515136 32272704 64545408