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64504816 = 2429435361
BaseRepresentation
bin1111011000010…
…0001111110000
311111101011222021
43312010033300
5113003123231
610222321224
71412165455
oct366041760
9144334867
1064504816
1133458472
1219729214
131049653c
1487d182c
1559e2811
hex3d843f0

64504816 has 80 divisors (see below), whose sum is σ = 137000160. Its totient is φ = 29352960.

The previous prime is 64504799. The next prime is 64504819. The reversal of 64504816 is 61840546.

64504816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64504819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057426 + ... + 1057486.

It is an arithmetic number, because the mean of its divisors is an integer number (1712502).

Almost surely, 264504816 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 64504816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68500080).

64504816 is an abundant number, since it is smaller than the sum of its proper divisors (72495344).

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

64504816 is a wasteful number, since it uses less digits than its factorization.

64504816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 64504816 is about 8031.4890275714. The cubic root of 64504816 is about 401.0489468717.

The spelling of 64504816 in words is "sixty-four million, five hundred four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 43 53 58 61 86 106 116 122 172 212 232 244 344 424 464 488 688 848 976 1247 1537 1769 2279 2494 2623 3074 3233 3538 4558 4988 5246 6148 6466 7076 9116 9976 10492 12296 12932 14152 18232 19952 20984 24592 25864 28304 36464 41968 51728 66091 76067 93757 132182 139019 152134 187514 264364 278038 304268 375028 528728 556076 608536 750056 1057456 1112152 1217072 1500112 2224304 4031551 8063102 16126204 32252408 64504816