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64023808 = 28449557
BaseRepresentation
bin1111010000111…
…0110100000000
311110110202011011
43310032310000
5112342230213
610204130304
71405123222
oct364166400
9143422134
1064023808
113315a042
1219536994
1310358614
148708412
15594a03d
hex3d0ed00

64023808 has 36 divisors (see below), whose sum is σ = 128312100. Its totient is φ = 31883264.

The previous prime is 64023803. The next prime is 64023821. The reversal of 64023808 is 80832046.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 43665664 = 4512^2 + 6608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64023808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64023803) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 114666 + ... + 115222.

It is an arithmetic number, because the mean of its divisors is an integer number (3564225).

Almost surely, 264023808 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 64023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64156050).

64023808 is an abundant number, since it is smaller than the sum of its proper divisors (64288292).

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

64023808 is an equidigital number, since it uses as much as digits as its factorization.

64023808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 64023808 is about 8001.4878616417. The cubic root of 64023808 is about 400.0495938509.

The spelling of 64023808 in words is "sixty-four million, twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 449 557 898 1114 1796 2228 3592 4456 7184 8912 14368 17824 28736 35648 57472 71296 114944 142592 250093 500186 1000372 2000744 4001488 8002976 16005952 32011904 64023808