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4268889240 = 23357112353379
BaseRepresentation
bin1111111001110010…
…0001010010011000
3102000111200001010220
43332130201102120
532220313423430
61543333040040
7210533650140
oct37634412230
912014601126
104268889240
1118a0749740
129b1786020
13530548a85
142c6d49920
1519eb8b110
hexfe721498

4268889240 has 512 divisors, whose sum is σ = 17020108800. Its totient is φ = 830269440.

The previous prime is 4268889211. The next prime is 4268889241. The reversal of 4268889240 is 429888624.

4268889240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42688892403 (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268889241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11263371 + ... + 11263749.

It is an arithmetic number, because the mean of its divisors is an integer number (33242400).

Almost surely, 24268889240 is an apocalyptic number.

4268889240 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 4268889240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510054400).

4268889240 is an abundant number, since it is smaller than the sum of its proper divisors (12751219560).

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

4268889240 is a wasteful number, since it uses less digits than its factorization.

4268889240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 4268889240 is about 65336.7372922768. The cubic root of 4268889240 is about 1622.2021111815.

The spelling of 4268889240 in words is "four billion, two hundred sixty-eight million, eight hundred eighty-nine thousand, two hundred forty".