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64269000 = 23325337193
BaseRepresentation
bin1111010100101…
…0101011001000
311110221012111100
43311022223020
5112423102000
610213301400
71410164115
oct365125310
9143835440
1064269000
1133307284
1219634860
13104130c3
14876d90c
155997a00
hex3d4aac8

64269000 has 192 divisors, whose sum is σ = 224256240. Its totient is φ = 16588800.

The previous prime is 64268977. The next prime is 64269011. The reversal of 64269000 is 96246.

64269000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4639716 + 59629284 = 2154^2 + 7722^2 .

It is a super-2 number, since 2×642690002 = 8261008722000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332904 + ... + 333096.

Almost surely, 264269000 is an apocalyptic number.

64269000 is a gapful number since it is divisible by the number (60) 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 64269000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112128120).

64269000 is an abundant number, since it is smaller than the sum of its proper divisors (159987240).

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

64269000 is a wasteful number, since it uses less digits than its factorization.

64269000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 64269000 is about 8016.7948707697. The cubic root of 64269000 is about 400.5596333279.

The spelling of 64269000 in words is "sixty-four million, two hundred sixty-nine thousand".