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3975221248 = 2121757089
BaseRepresentation
bin1110110011110001…
…0001000000000000
3101021001002011101121
43230330101000000
531120124034443
61454242442024
7200336552215
oct35474210000
911231064347
103975221248
11175a9aa619
1292b363314
134b475712b
14299d43b0c
15183ecd4ed
hexecf11000

3975221248 has 52 divisors (see below), whose sum is σ = 8417235420. Its totient is φ = 1870659584.

The previous prime is 3975221219. The next prime is 3975221251. The reversal of 3975221248 is 8421225793.

It can be written as a sum of positive squares in 2 ways, for example, as 2415919104 + 1559302144 = 49152^2 + 39488^2 .

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 3 ways as a sum of consecutive naturals, for example, 41088 + ... + 98176.

Almost surely, 23975221248 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 3975221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208617710).

3975221248 is an abundant number, since it is smaller than the sum of its proper divisors (4442014172).

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

3975221248 is an equidigital number, since it uses as much as digits as its factorization.

3975221248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57130 (or 57108 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 3975221248 is about 63049.3556509502. The cubic root of 3975221248 is about 1584.1164421423.

The spelling of 3975221248 in words is "three billion, nine hundred seventy-five million, two hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8704 17408 34816 57089 69632 114178 228356 456712 913424 970513 1826848 1941026 3653696 3882052 7307392 7764104 14614784 15528208 29229568 31056416 58459136 62112832 116918272 124225664 233836544 248451328 496902656 993805312 1987610624 3975221248