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64406656 = 271971373
BaseRepresentation
bin1111010110110…
…0010010000000
311111012012022201
43311230102000
5112442003111
610220242544
71411306336
oct365542200
9144165281
1064406656
11333a0746
12196a0454
1310460962
1487a7b56
1559c36c1
hex3d6c480

64406656 has 64 divisors (see below), whose sum is σ = 137332800. Its totient is φ = 29998080.

The previous prime is 64406633. The next prime is 64406669. The reversal of 64406656 is 65660446.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 172486 + ... + 172858.

It is an arithmetic number, because the mean of its divisors is an integer number (2145825).

Almost surely, 264406656 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 64406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68666400).

64406656 is an abundant number, since it is smaller than the sum of its proper divisors (72926144).

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

64406656 is a wasteful number, since it uses less digits than its factorization.

64406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 64406656 is about 8025.3757544429. The cubic root of 64406656 is about 400.8454119378.

The spelling of 64406656 in words is "sixty-four million, four hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 284 304 373 568 608 746 1136 1216 1349 1492 2272 2432 2698 2984 4544 5396 5968 7087 9088 10792 11936 14174 21584 23872 26483 28348 43168 47744 52966 56696 86336 105932 113392 172672 211864 226784 423728 453568 503177 847456 907136 1006354 1694912 2012708 3389824 4025416 8050832 16101664 32203328 64406656