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4064390352 = 2433112341907
BaseRepresentation
bin1111001001000001…
…1010110011010000
3101111020212102102000
43302100122303100
531310440442402
61511145554000
7202501514361
oct36220326320
911436772360
104064390352
1117a62736a0
129551a5900
134ca077b09
142a7b15b68
1518bc43c1c
hexf241acd0

4064390352 has 320 divisors, whose sum is σ = 13619128320. Its totient is φ = 1148083200.

The previous prime is 4064390321. The next prime is 4064390359. The reversal of 4064390352 is 2530934604.

4064390352 is a `hidden beast` number, since 4 + 0 + 643 + 9 + 0 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064390359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4480683 + ... + 4481589.

It is an arithmetic number, because the mean of its divisors is an integer number (42559776).

Almost surely, 24064390352 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 4064390352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809564160).

4064390352 is an abundant number, since it is smaller than the sum of its proper divisors (9554737968).

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

4064390352 is a wasteful number, since it uses less digits than its factorization.

4064390352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4064390352 is about 63752.5713363783. The cubic root of 4064390352 is about 1595.8735272046.

The spelling of 4064390352 in words is "four billion, sixty-four million, three hundred ninety thousand, three hundred fifty-two".