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3844248004 = 2229210692
BaseRepresentation
bin1110010100100010…
…1001000111000100
3100220220122000212201
43211020221013010
530333111414004
61433243324244
7164156366062
oct34510510704
910826560781
103844248004
1116a2a83473
128b3520684
1349358a67c
142867ad032
1517775b6a4
hexe52291c4

3844248004 has 27 divisors (see below), whose sum is σ = 6973937607. Its totient is φ = 1854107808.

The previous prime is 3844247987. The next prime is 3844248019. The reversal of 3844248004 is 4008424483.

The square root of 3844248004 is 62002.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 3844000000 = 498^2 + 62000^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 3595582 + ... + 3596650.

Almost surely, 23844248004 is an apocalyptic number.

3844248004 is the 62002-nd square number.

It is an amenable number.

3844248004 is a deficient number, since it is larger than the sum of its proper divisors (3129689603).

3844248004 is an equidigital number, since it uses as much as digits as its factorization.

3844248004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The cubic root of 3844248004 is about 1566.5242871866.

It can be divided in two parts, 3844 and 248004, that multiplied together give a square (953327376 = 308762).

The spelling of 3844248004 in words is "three billion, eight hundred forty-four million, two hundred forty-eight thousand, four".

Divisors: 1 2 4 29 58 116 841 1069 1682 2138 3364 4276 31001 62002 124004 899029 1142761 1798058 2285522 3596116 4571044 33140069 66280138 132560276 961062001 1922124002 3844248004