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4286545920 = 2153451719
BaseRepresentation
bin1111111101111111…
…1000000000000000
3102001201220002120000
43333133320000000
532234323432140
61545203320000
7211140016266
oct37737700000
912051802500
104286545920
1118aa709438
129b7680000
135340bb707
142c9424436
151a14c7a30
hexff7f8000

4286545920 has 640 divisors, whose sum is σ = 17128227600. Its totient is φ = 1019215872.

The previous prime is 4286545897. The next prime is 4286545931. The reversal of 4286545920 is 295456824.

4286545920 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 54 + 592 + 0 = 666.

4286545920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225607671 + ... + 225607689.

Almost surely, 24286545920 is an apocalyptic number.

4286545920 is a gapful number since it is divisible by the number (40) 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 4286545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564113800).

4286545920 is an abundant number, since it is smaller than the sum of its proper divisors (12841681680).

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

4286545920 is an equidigital number, since it uses as much as digits as its factorization.

4286545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4286545920 is about 65471.7184744680. The cubic root of 4286545920 is about 1624.4355808639.

The spelling of 4286545920 in words is "four billion, two hundred eighty-six million, five hundred forty-five thousand, nine hundred twenty".