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64454656 = 2157281
BaseRepresentation
bin1111010111100…
…0000000000000
311111021122011111
43311320000000
5113000022111
610221253104
71411566310
oct365700000
9144248144
1064454656
1133423812
1219704194
1310479766
1487bb440
1559d2a21
hex3d78000

64454656 has 64 divisors (see below), whose sum is σ = 147846960. Its totient is φ = 27525120.

The previous prime is 64454653. The next prime is 64454683. The reversal of 64454656 is 65645446.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64454653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229236 + ... + 229516.

Almost surely, 264454656 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 64454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73923480).

64454656 is an abundant number, since it is smaller than the sum of its proper divisors (83392304).

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

64454656 is an frugal number, since it uses more digits than its factorization.

64454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 290 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The square root of 64454656 is about 8028.3657116502. The cubic root of 64454656 is about 400.9449658409.

The spelling of 64454656 in words is "sixty-four million, four hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 281 448 512 562 896 1024 1124 1792 1967 2048 2248 3584 3934 4096 4496 7168 7868 8192 8992 14336 15736 16384 17984 28672 31472 32768 35968 57344 62944 71936 114688 125888 143872 229376 251776 287744 503552 575488 1007104 1150976 2014208 2301952 4028416 4603904 8056832 9207808 16113664 32227328 64454656