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4253126656 = 21210192
BaseRepresentation
bin1111110110000001…
…1001000000000000
3101222102000012221111
43331200121000000
532202300023111
61542011133104
7210252660112
oct37540310000
911872005844
104253126656
111892863009
129a8444194
1352a1ba2bc
142c4c053b2
1519d5c5a21
hexfd819000

4253126656 has 39 divisors (see below), whose sum is σ = 8513569771. Its totient is φ = 2124476416.

The previous prime is 4253126641. The next prime is 4253126659. The reversal of 4253126656 is 6566213524.

It is a happy number.

The square root of 4253126656 is 65216.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4253126659) 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 2 ways as a sum of consecutive naturals, for example, 4173315 + ... + 4174333.

Almost surely, 24253126656 is an apocalyptic number.

4253126656 is the 65216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253126656

4253126656 is an abundant number, since it is smaller than the sum of its proper divisors (4260443115).

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

4253126656 is an frugal number, since it uses more digits than its factorization.

4253126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 1021 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The cubic root of 4253126656 is about 1620.2030249031.

The spelling of 4253126656 in words is "four billion, two hundred fifty-three million, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1019 1024 2038 2048 4076 4096 8152 16304 32608 65216 130432 260864 521728 1038361 1043456 2076722 2086912 4153444 4173824 8306888 16613776 33227552 66455104 132910208 265820416 531640832 1063281664 2126563328 4253126656