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4295162040 = 23351321971157
BaseRepresentation
bin1000000000000001…
…01111100010111000
3102002100002211122120
410000000233202320
532244030141130
61550112121240
7211303163211
oct40000574270
912070084576
104295162040
1119045638a4
129ba536220
13535b17400
142ca628408
151a212a910
hex10002f8b8

4295162040 has 384 divisors, whose sum is σ = 14989017600. Its totient is φ = 981227520.

The previous prime is 4295161999. The next prime is 4295162051. The reversal of 4295162040 is 402615924.

It is a junction number, because it is equal to n+sod(n) for n = 4295161992 and 4295162010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27357642 + ... + 27357798.

It is an arithmetic number, because the mean of its divisors is an integer number (39033900).

Almost surely, 24295162040 is an apocalyptic number.

4295162040 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 4295162040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494508800).

4295162040 is an abundant number, since it is smaller than the sum of its proper divisors (10693855560).

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

4295162040 is a wasteful number, since it uses less digits than its factorization.

4295162040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4295162040 is about 65537.4857619668. The cubic root of 4295162040 is about 1625.5232448321.

Adding to 4295162040 its reverse (402615924), we get a palindrome (4697777964).

The spelling of 4295162040 in words is "four billion, two hundred ninety-five million, one hundred sixty-two thousand, forty".