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4286142464 = 2112972167
BaseRepresentation
bin1111111101111001…
…0101100000000000
3102001201010121010012
43333132111200000
532234223024324
61545150524052
7211133416112
oct37736254000
912051117105
104286142464
1118aa4632aa
129b7506628
13533ca9b96
142c935b3b2
151a144820e
hexff795800

4286142464 has 48 divisors (see below), whose sum is σ = 8865838800. Its totient is φ = 2069143552.

The previous prime is 4286142451. The next prime is 4286142467. The reversal of 4286142464 is 4642416824.

4286142464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4286142467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23309 + ... + 95475.

It is an arithmetic number, because the mean of its divisors is an integer number (184704975).

Almost surely, 24286142464 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 4286142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432919400).

4286142464 is an abundant number, since it is smaller than the sum of its proper divisors (4579696336).

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

4286142464 is an equidigital number, since it uses as much as digits as its factorization.

4286142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72218 (or 72198 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

The square root of 4286142464 is about 65468.6372547955. The cubic root of 4286142464 is about 1624.3846145103.

The spelling of 4286142464 in words is "four billion, two hundred eighty-six million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3712 7424 14848 29696 59392 72167 144334 288668 577336 1154672 2092843 2309344 4185686 4618688 8371372 9237376 16742744 18474752 33485488 36949504 66970976 73899008 133941952 147798016 267883904 535767808 1071535616 2143071232 4286142464