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3728031296 = 26112481409
BaseRepresentation
bin1101111000110101…
…0011111001000000
3100121210221121112012
43132031103321000
530113334000141
61413532352052
7161245512623
oct33615237100
910553847465
103728031296
111643416100
12880615628
134754897a2
14275199dba
1516c451ceb
hexde353e40

3728031296 has 42 divisors (see below), whose sum is σ = 8131496310. Its totient is φ = 1694556160.

The previous prime is 3728031271. The next prime is 3728031317. The reversal of 3728031296 is 6921308273.

3728031296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3054109696 + 673921600 = 55264^2 + 25960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 232961 + ... + 248448.

It is an arithmetic number, because the mean of its divisors is an integer number (193607055).

Almost surely, 23728031296 is an apocalyptic number.

It is an amenable number.

3728031296 is an abundant number, since it is smaller than the sum of its proper divisors (4403465014).

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

3728031296 is a wasteful number, since it uses less digits than its factorization.

3728031296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481443 (or 481422 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 3728031296 is about 61057.6063729983. The cubic root of 3728031296 is about 1550.5764482342.

The spelling of 3728031296 in words is "three billion, seven hundred twenty-eight million, thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 481409 962818 1925636 3851272 5295499 7702544 10590998 15405088 21181996 30810176 42363992 58250489 84727984 116500978 169455968 233001956 338911936 466003912 932007824 1864015648 3728031296