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64950864 = 24311253211
BaseRepresentation
bin1111011111000…
…1001001010000
311112012211211120
43313301021100
5113111411424
610240042240
71416034056
oct367611120
9145184746
1064950864
1133732600
1219903380
13105c1584
1488aa1d6
155a7ea79
hex3df1250

64950864 has 120 divisors (see below), whose sum is σ = 188800416. Its totient is φ = 19219200.

The previous prime is 64950833. The next prime is 64950883. The reversal of 64950864 is 46805946.

64950864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×649508642 = 8437229468692992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 307719 + ... + 307929.

Almost surely, 264950864 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 64950864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94400208).

64950864 is an abundant number, since it is smaller than the sum of its proper divisors (123849552).

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

64950864 is a wasteful number, since it uses less digits than its factorization.

64950864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 64950864 is about 8059.2098868313. The cubic root of 64950864 is about 401.9712362776.

The spelling of 64950864 in words is "sixty-four million, nine hundred fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 121 132 159 176 211 212 242 264 318 363 422 424 484 528 583 633 636 726 844 848 968 1166 1266 1272 1452 1688 1749 1936 2321 2332 2532 2544 2904 3376 3498 4642 4664 5064 5808 6413 6963 6996 9284 9328 10128 11183 12826 13926 13992 18568 19239 22366 25531 25652 27852 27984 33549 37136 38478 44732 51062 51304 55704 67098 76593 76956 89464 102124 102608 111408 123013 134196 153186 153912 178928 204248 246026 268392 306372 307824 369039 408496 492052 536784 612744 738078 984104 1225488 1353143 1476156 1968208 2706286 2952312 4059429 5412572 5904624 8118858 10825144 16237716 21650288 32475432 64950864