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3952897220 = 2253744911897
BaseRepresentation
bin1110101110011100…
…0110110011000100
3101012111001222120202
43223213012303010
531043420202340
61452124150032
7166646033456
oct35347066304
911174058522
103952897220
111749342208
12923998318
134acc3bc4c
14296db22d6
1518206dc15
hexeb9c6cc4

3952897220 has 48 divisors (see below), whose sum is σ = 8545143600. Its totient is φ = 1534869504.

The previous prime is 3952897217. The next prime is 3952897261. The reversal of 3952897220 is 227982593.

It can be written as a sum of positive squares in 8 ways, for example, as 1146228736 + 2806668484 = 33856^2 + 52978^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326312 + ... + 338208.

It is an arithmetic number, because the mean of its divisors is an integer number (178023825).

Almost surely, 23952897220 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 3952897220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272571800).

3952897220 is an abundant number, since it is smaller than the sum of its proper divisors (4592246380).

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

3952897220 is a wasteful number, since it uses less digits than its factorization.

3952897220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12392 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 3952897220 is about 62872.0702697152. The cubic root of 3952897220 is about 1581.1455160279.

The spelling of 3952897220 in words is "three billion, nine hundred fifty-two million, eight hundred ninety-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 449 740 898 1796 2245 4490 8980 11897 16613 23794 33226 47588 59485 66452 83065 118970 166130 237940 332260 440189 880378 1760756 2200945 4401890 5341753 8803780 10683506 21367012 26708765 53417530 106835060 197644861 395289722 790579444 988224305 1976448610 3952897220