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64684656 = 2435127131
BaseRepresentation
bin1111011011000…
…0001001110000
311111201022200000
43312300021300
5113024402111
610230230000
71413545001
oct366601160
9144638600
1064684656
11335705a3
12197b5300
131052a35a
14883b1a8
155a2ac56
hex3db0270

64684656 has 120 divisors (see below), whose sum is σ = 190654464. Its totient is φ = 21228480.

The previous prime is 64684651. The next prime is 64684657. The reversal of 64684656 is 65648646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64684651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493711 + ... + 493841.

Almost surely, 264684656 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 64684656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327232).

64684656 is an abundant number, since it is smaller than the sum of its proper divisors (125969808).

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

64684656 is a wasteful number, since it uses less digits than its factorization.

64684656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 64684656 is about 8042.6771662177. The cubic root of 64684656 is about 401.4213103770.

The spelling of 64684656 in words is "sixty-four million, six hundred eighty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 131 144 162 216 243 254 262 324 381 393 432 486 508 524 648 762 786 972 1016 1048 1143 1179 1296 1524 1572 1944 2032 2096 2286 2358 3048 3144 3429 3537 3888 4572 4716 6096 6288 6858 7074 9144 9432 10287 10611 13716 14148 16637 18288 18864 20574 21222 27432 28296 30861 31833 33274 41148 42444 49911 54864 56592 61722 63666 66548 82296 84888 99822 123444 127332 133096 149733 164592 169776 199644 246888 254664 266192 299466 399288 449199 493776 509328 598932 798576 898398 1197864 1347597 1796796 2395728 2695194 3593592 4042791 5390388 7187184 8085582 10780776 16171164 21561552 32342328 64684656