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4257453312 = 283673259
BaseRepresentation
bin1111110111000011…
…1001010100000000
3101222201011001000000
43331300321110000
532204402001222
61542244000000
7210334520220
oct37560712400
911881131000
104257453312
111895248762
129a9990000
1352b073758
142c5610080
1519db7c9ac
hexfdc39500

4257453312 has 252 divisors, whose sum is σ = 14566279840. Its totient is φ = 1216041984.

The previous prime is 4257453283. The next prime is 4257453353. The reversal of 4257453312 is 2133547524.

4257453312 is a `hidden beast` number, since 4 + 2 + 574 + 53 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1304739 + ... + 1307997.

Almost surely, 24257453312 is an apocalyptic number.

4257453312 is a gapful number since it is divisible by the number (42) 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 4257453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283139920).

4257453312 is an abundant number, since it is smaller than the sum of its proper divisors (10308826528).

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

4257453312 is an frugal number, since it uses more digits than its factorization.

4257453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3271 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 4257453312 is about 65249.1633049804. The cubic root of 4257453312 is about 1620.7522432361.

The spelling of 4257453312 in words is "four billion, two hundred fifty-seven million, four hundred fifty-three thousand, three hundred twelve".