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64886016 = 283136797
BaseRepresentation
bin1111011110000…
…1010100000000
311112002112212210
43313201110000
5113102323031
610234422120
71415344026
oct367412400
9145075783
1064886016
1133698908
1219891940
131059abc0
148890716
155a6a746
hex3de1500

64886016 has 144 divisors (see below), whose sum is σ = 190697024. Its totient is φ = 19464192.

The previous prime is 64886009. The next prime is 64886027. The reversal of 64886016 is 61068846.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 668880 + ... + 668976.

Almost surely, 264886016 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 64886016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95348512).

64886016 is an abundant number, since it is smaller than the sum of its proper divisors (125811008).

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

64886016 is a wasteful number, since it uses less digits than its factorization.

64886016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 64886016 is about 8055.1856589405. The cubic root of 64886016 is about 401.8374135221.

The spelling of 64886016 in words is "sixty-four million, eight hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 97 104 128 134 156 192 194 201 208 256 268 291 312 384 388 402 416 536 582 624 768 776 804 832 871 1072 1164 1248 1261 1552 1608 1664 1742 2144 2328 2496 2522 2613 3104 3216 3328 3484 3783 4288 4656 4992 5044 5226 6208 6432 6499 6968 7566 8576 9312 9984 10088 10452 12416 12864 12998 13936 15132 17152 18624 19497 20176 20904 24832 25728 25996 27872 30264 37248 38994 40352 41808 51456 51992 55744 60528 74496 77988 80704 83616 84487 103984 111488 121056 155976 161408 167232 168974 207968 222976 242112 253461 311952 322816 334464 337948 415936 484224 506922 623904 668928 675896 831872 968448 1013844 1247808 1351792 1663744 2027688 2495616 2703584 4055376 4991232 5407168 8110752 10814336 16221504 21628672 32443008 64886016