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63064064 = 21175383
BaseRepresentation
bin1111000010010…
…0100000000000
311101122222122002
43300210200000
5112121022224
610131403132
71364015150
oct360444000
9141588562
1063064064
1132663a68
12191534a8
13100b081b
148538760
15580a9ae
hex3c24800

63064064 has 96 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 26198016.

The previous prime is 63064061. The next prime is 63064069. The reversal of 63064064 is 46046036.

It is not an unprimeable number, because it can be changed into a prime (63064061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759767 + ... + 759849.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 263064064 is an apocalyptic number.

63064064 is a gapful number since it is divisible by the number (64) 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 63064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

63064064 is an abundant number, since it is smaller than the sum of its proper divisors (85535296).

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

63064064 is an equidigital number, since it uses as much as digits as its factorization.

63064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 63064064 is about 7941.2885604290. The cubic root of 63064064 is about 398.0405503998.

The spelling of 63064064 in words is "sixty-three million, sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 83 106 112 128 166 212 224 256 332 371 424 448 512 581 664 742 848 896 1024 1162 1328 1484 1696 1792 2048 2324 2656 2968 3392 3584 4399 4648 5312 5936 6784 7168 8798 9296 10624 11872 13568 14336 17596 18592 21248 23744 27136 30793 35192 37184 42496 47488 54272 61586 70384 74368 84992 94976 108544 123172 140768 148736 169984 189952 246344 281536 297472 379904 492688 563072 594944 759808 985376 1126144 1189888 1970752 2252288 3941504 4504576 7883008 9009152 15766016 31532032 63064064