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3774627844 = 221321721392
BaseRepresentation
bin1110000011111100…
…0100000000000100
3100202001121221222021
43200333010000010
530212301042334
61422315212524
7162352543621
oct34077040004
910661557867
103774627844
111667751849
12894147144
13482022a00
1427b449348
151715a83b4
hexe0fc4004

3774627844 has 81 divisors (see below), whose sum is σ = 7653369087. Its totient is φ = 1627861248.

The previous prime is 3774627841. The next prime is 3774627847. The reversal of 3774627844 is 4487264773.

The square root of 3774627844 is 61438.

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

It is an interprime number because it is at equal distance from previous prime (3774627841) and next prime (3774627847).

It can be written as a sum of positive squares in 4 ways, for example, as 34082244 + 3740545600 = 5838^2 + 61160^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3774627791 and 3774627800.

It is not an unprimeable number, because it can be changed into a prime (3774627841) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 27155527 + ... + 27155665.

Almost surely, 23774627844 is an apocalyptic number.

3774627844 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3774627844 is the 61438-th square number.

It is an amenable number.

3774627844 is an abundant number, since it is smaller than the sum of its proper divisors (3878741243).

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

3774627844 is a wasteful number, since it uses less digits than its factorization.

3774627844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 52.

The cubic root of 3774627844 is about 1557.0099206724.

The spelling of 3774627844 in words is "three billion, seven hundred seventy-four million, six hundred twenty-seven thousand, eight hundred forty-four".

Divisors: 1 2 4 13 17 26 34 52 68 139 169 221 278 289 338 442 556 578 676 884 1156 1807 2363 2873 3614 3757 4726 5746 7228 7514 9452 11492 15028 19321 23491 30719 38642 40171 46982 48841 61438 77284 80342 93964 97682 122876 160684 195364 251173 328457 399347 502346 522223 656914 798694 1004692 1044446 1313828 1597388 2088892 3265249 4269941 5583769 6530498 6788899 8539882 11167538 13060996 13577798 17079764 22335076 27155596 55509233 72588997 111018466 145177994 222036932 290355988 943656961 1887313922 3774627844