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3143425792 = 28133130469
BaseRepresentation
bin1011101101011100…
…1101111100000000
322010001220120112111
42323113031330000
522414204111132
61235530305104
7140616451453
oct27327157400
98101816474
103143425792
111373422361
12738888194
133b1320c80
1421b69d49a
15135e75647
hexbb5cdf00

3143425792 has 72 divisors (see below), whose sum is σ = 6975436160. Its totient is φ = 1403965440.

The previous prime is 3143425763. The next prime is 3143425793. The reversal of 3143425792 is 2975243413.

It is a super-2 number, since 2×31434257922 = 19762251419621654528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143425793) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 87934 + ... + 118402.

Almost surely, 23143425792 is an apocalyptic number.

3143425792 is a gapful number since it is divisible by the number (32) 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 3143425792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487718080).

3143425792 is an abundant number, since it is smaller than the sum of its proper divisors (3832010368).

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

3143425792 is a wasteful number, since it uses less digits than its factorization.

3143425792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30529 (or 30515 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 3143425792 is about 56066.2625114248. The cubic root of 3143425792 is about 1464.8766982622.

The spelling of 3143425792 in words is "three billion, one hundred forty-three million, four hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 806 832 992 1612 1664 1984 3224 3328 3968 6448 7936 12896 25792 30469 51584 60938 103168 121876 243752 396097 487504 792194 944539 975008 1584388 1889078 1950016 3168776 3778156 3900032 6337552 7556312 7800064 12279007 12675104 15112624 24558014 25350208 30225248 49116028 50700416 60450496 98232056 101400832 120900992 196464112 241801984 392928224 785856448 1571712896 3143425792