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3772662084 = 22322923532
BaseRepresentation
bin1110000011011110…
…0100000101000100
3100201220221002110100
43200313210011010
530211300141314
61422205124100
7162330045552
oct34067440504
910656832410
103772662084
111666629954
12893559630
134817b5039
1427b096bd2
1517131ac09
hexe0de4144

3772662084 has 81 divisors (see below), whose sum is σ = 9904692343. Its totient is φ = 1210750464.

The previous prime is 3772662079. The next prime is 3772662107. The reversal of 3772662084 is 4802662773.

The square root of 3772662084 is 61422.

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 18404100 + 3754257984 = 4290^2 + 61272^2 .

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 26 ways as a sum of consecutive naturals, for example, 10687252 + ... + 10687604.

Almost surely, 23772662084 is an apocalyptic number.

3772662084 is the 61422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3772662084

3772662084 is an abundant number, since it is smaller than the sum of its proper divisors (6132030259).

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

3772662084 is a wasteful number, since it uses less digits than its factorization.

3772662084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The cubic root of 3772662084 is about 1556.7395859160.

It can be divided in two parts, 3772 and 662084, that added together give a square (665856 = 8162).

The spelling of 3772662084 in words is "three billion, seven hundred seventy-two million, six hundred sixty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 353 522 706 841 1044 1059 1412 1682 2118 2523 3177 3364 4236 5046 6354 7569 10092 10237 12708 15138 20474 30276 30711 40948 61422 92133 122844 124609 184266 249218 296873 368532 373827 498436 593746 747654 890619 1121481 1187492 1495308 1781238 2242962 2671857 3562476 3613661 4485924 5343714 7227322 10687428 10840983 14454644 21681966 32522949 43363932 65045898 104796169 130091796 209592338 314388507 419184676 628777014 943165521 1257554028 1886331042 3772662084