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64855296 = 283311853
BaseRepresentation
bin1111011101100…
…1110100000000
311112000222202000
43313121310000
5113100332141
610234024000
71415155332
oct367316400
9145028660
1064855296
1133677820
1219878000
1310589c1c
148883452
155a615b6
hex3dd9d00

64855296 has 144 divisors (see below), whose sum is σ = 209469120. Its totient is φ = 19630080.

The previous prime is 64855283. The next prime is 64855363. The reversal of 64855296 is 69255846.

64855296 is a `hidden beast` number, since 6 + 4 + 8 + 552 + 96 = 666.

64855296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 75606 + ... + 76458.

Almost surely, 264855296 is an apocalyptic number.

64855296 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104734560).

64855296 is an abundant number, since it is smaller than the sum of its proper divisors (144613824).

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

64855296 is a wasteful number, since it uses less digits than its factorization.

64855296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 869 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 64855296 is about 8053.2785870104. The cubic root of 64855296 is about 401.7739874571.

It can be divided in two parts, 6485 and 5296, that added together give a triangular number (11781 = T153).

The spelling of 64855296 in words is "sixty-four million, eight hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 853 864 1056 1152 1188 1408 1584 1706 1728 2112 2304 2376 2559 2816 3168 3412 3456 4224 4752 5118 6336 6824 6912 7677 8448 9383 9504 10236 12672 13648 15354 18766 19008 20472 23031 25344 27296 28149 30708 37532 38016 40944 46062 54592 56298 61416 75064 76032 81888 84447 92124 109184 112596 122832 150128 163776 168894 184248 218368 225192 245664 253341 300256 327552 337788 368496 450384 491328 506682 600512 655104 675576 736992 900768 982656 1013364 1201024 1351152 1473984 1801536 1965312 2026728 2402048 2702304 2947968 3603072 4053456 5404608 5895936 7206144 8106912 10809216 16213824 21618432 32427648 64855296