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64954368 = 21332881
BaseRepresentation
bin1111011111001…
…0000000000000
311112020000122100
43313302000000
5113112014433
610240110400
71416050223
oct367620000
9145200570
1064954368
11337351a6
1219905400
13105c304b
1488ab5ba
155a80b13
hex3df2000

64954368 has 84 divisors (see below), whose sum is σ = 187847478. Its totient is φ = 21626880.

The previous prime is 64954367. The next prime is 64954387. The reversal of 64954368 is 86345946.

64954368 is a `hidden beast` number, since 6 + 49 + 543 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61968384 + 2985984 = 7872^2 + 1728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64954367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73288 + ... + 74168.

Almost surely, 264954368 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 64954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93923739).

64954368 is an abundant number, since it is smaller than the sum of its proper divisors (122893110).

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

64954368 is an equidigital number, since it uses as much as digits as its factorization.

64954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 886 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 64954368 is about 8059.4272749371. The cubic root of 64954368 is about 401.9784647259.

The spelling of 64954368 in words is "sixty-four million, nine hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 881 1024 1152 1536 1762 2048 2304 2643 3072 3524 4096 4608 5286 6144 7048 7929 8192 9216 10572 12288 14096 15858 18432 21144 24576 28192 31716 36864 42288 56384 63432 73728 84576 112768 126864 169152 225536 253728 338304 451072 507456 676608 902144 1014912 1353216 1804288 2029824 2706432 3608576 4059648 5412864 7217152 8119296 10825728 16238592 21651456 32477184 64954368