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295074864 = 243272193171
BaseRepresentation
bin10001100101100…
…111110000110000
3202120020100121200
4101211213300300
51101014343424
645140251200
710212044400
oct2145476060
9676210550
10295074864
11141620127
12829a0b00
1349195116
142b290800
151ad898c9
hex11967c30

295074864 has 360 divisors, whose sum is σ = 1058503680. Its totient is φ = 76204800.

The previous prime is 295074859. The next prime is 295074869. The reversal of 295074864 is 468470592.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (295074859) and next prime (295074869).

It is not an unprimeable number, because it can be changed into a prime (295074869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4155949 + ... + 4156019.

It is an arithmetic number, because the mean of its divisors is an integer number (2940288).

Almost surely, 2295074864 is an apocalyptic number.

295074864 is a gapful number since it is divisible by the number (24) 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 295074864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529251840).

295074864 is an abundant number, since it is smaller than the sum of its proper divisors (763428816).

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

295074864 is a wasteful number, since it uses less digits than its factorization.

295074864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 295074864 is about 17177.7432743652. The cubic root of 295074864 is about 665.7493307657.

The spelling of 295074864 in words is "two hundred ninety-five million, seventy-four thousand, eight hundred sixty-four".