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64229376 = 21235227
BaseRepresentation
bin1111010100000…
…1000000000000
311110212012010210
43311001000000
5112420320001
610212354120
71406640441
oct365010000
9143765123
1064229376
113328a532
1219615940
13103cb063
14875d2c8
15598add6
hex3d41000

64229376 has 52 divisors (see below), whose sum is σ = 171290192. Its totient is φ = 21405696.

The previous prime is 64229371. The next prime is 64229377. The reversal of 64229376 is 67392246.

It is not an unprimeable number, because it can be changed into a prime (64229371) 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 3 ways as a sum of consecutive naturals, for example, 9675 + ... + 14901.

Almost surely, 264229376 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 64229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85645096).

64229376 is an abundant number, since it is smaller than the sum of its proper divisors (107060816).

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

64229376 is an equidigital number, since it uses as much as digits as its factorization.

64229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5232 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 64229376 is about 8014.3231779109. The cubic root of 64229376 is about 400.4772969093.

The spelling of 64229376 in words is "sixty-four million, two hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 5227 6144 10454 12288 15681 20908 31362 41816 62724 83632 125448 167264 250896 334528 501792 669056 1003584 1338112 2007168 2676224 4014336 5352448 8028672 10704896 16057344 21409792 32114688 64229376