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3142928896 = 296179949
BaseRepresentation
bin1011101101010101…
…0100101000000000
322010000222022220221
42323111110220000
522414042211041
61235511512424
7140612312002
oct27325245000
98100868827
103142928896
111373112aa8
12738688714
133b11a8a53
1421b5b0372
15135dc82d1
hexbb554a00

3142928896 has 40 divisors (see below), whose sum is σ = 6290529300. Its totient is φ = 1568759808.

The previous prime is 3142928843. The next prime is 3142928897. The reversal of 3142928896 is 6988292413.

It can be written as a sum of positive squares in 2 ways, for example, as 2752471296 + 390457600 = 52464^2 + 19760^2 .

It is not an unprimeable number, because it can be changed into a prime (3142928897) 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 3 ways as a sum of consecutive naturals, for example, 310930 + ... + 320878.

Almost surely, 23142928896 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 3142928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145264650).

3142928896 is an abundant number, since it is smaller than the sum of its proper divisors (3147600404).

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

3142928896 is an frugal number, since it uses more digits than its factorization.

3142928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584 (or 10568 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The square root of 3142928896 is about 56061.8310082716. The cubic root of 3142928896 is about 1464.7995075604.

The spelling of 3142928896 in words is "three billion, one hundred forty-two million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 617 1234 2468 4936 9872 9949 19744 19898 39488 39796 78976 79592 157952 159184 315904 318368 636736 1273472 2546944 5093888 6138533 12277066 24554132 49108264 98216528 196433056 392866112 785732224 1571464448 3142928896