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4269054240 = 253351128167
BaseRepresentation
bin1111111001110100…
…1001100100100000
3102000111222102111000
43332131021210200
532220334213430
61543340352000
7210535235163
oct37635114440
912014872430
104269054240
1118a0851700
129b1845600
135305a5bc9
142c6d8dada
1519ebbee60
hexfe749920

4269054240 has 288 divisors, whose sum is σ = 16425521280. Its totient is φ = 1034795520.

The previous prime is 4269054239. The next prime is 4269054247. The reversal of 4269054240 is 424509624.

4269054240 is a `hidden beast` number, since 4 + 26 + 90 + 542 + 4 + 0 = 666.

4269054240 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 tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 4269054195 and 4269054204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4269054247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518637 + ... + 526803.

It is an arithmetic number, because the mean of its divisors is an integer number (57033060).

Almost surely, 24269054240 is an apocalyptic number.

4269054240 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 4269054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8212760640).

4269054240 is an abundant number, since it is smaller than the sum of its proper divisors (12156467040).

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

4269054240 is a wasteful number, since it uses less digits than its factorization.

4269054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8213 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4269054240 is about 65337.9999693899. Note that the first 4 decimals coincide. The cubic root of 4269054240 is about 1622.2230112240.

The spelling of 4269054240 in words is "four billion, two hundred sixty-nine million, fifty-four thousand, two hundred forty".