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3782564084 = 22132232111153
BaseRepresentation
bin1110000101110101…
…0101100011110100
3100202121120011110002
43201131111203310
530221314022314
61423201250432
7162510156425
oct34135254364
910677504402
103782564084
111671182422
12896933a18
13483871100
1427c51364c
15172124ade
hexe17558f4

3782564084 has 72 divisors (see below), whose sum is σ = 7521458112. Its totient is φ = 1660538880.

The previous prime is 3782564081. The next prime is 3782564119. The reversal of 3782564084 is 4804652873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782564081) 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 23 ways as a sum of consecutive naturals, for example, 3280052 + ... + 3281204.

It is an arithmetic number, because the mean of its divisors is an integer number (104464696).

Almost surely, 23782564084 is an apocalyptic number.

It is an amenable number.

3782564084 is a deficient number, since it is larger than the sum of its proper divisors (3738894028).

3782564084 is a wasteful number, since it uses less digits than its factorization.

3782564084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The square root of 3782564084 is about 61502.5534754452. The cubic root of 3782564084 is about 1558.1003729299.

The spelling of 3782564084 in words is "three billion, seven hundred eighty-two million, five hundred sixty-four thousand, eighty-four".

Divisors: 1 2 4 13 23 26 46 52 92 169 211 299 338 422 598 676 844 1153 1196 2306 2743 3887 4612 4853 5486 7774 9706 10972 14989 15548 19412 26519 29978 35659 53038 59956 63089 71318 106076 126178 142636 194857 243283 252356 344747 389714 486566 689494 779428 820157 973132 1378988 1640314 3162679 3280628 4481711 5595509 6325358 8963422 11191018 12650716 17926844 22382036 41114827 72741617 82229654 145483234 164459308 290966468 945641021 1891282042 3782564084