Search a number
-
+
36106444 = 221131103257
BaseRepresentation
bin1000100110111…
…1000011001100
32111221101201201
42021233003030
533220401234
63325515244
7615620413
oct211570314
974841651
1036106444
1119421340
1210112b24
13763257a
144b1c47a
153283314
hex226f0cc

36106444 has 48 divisors (see below), whose sum is σ = 72124416. Its totient is φ = 15667200.

The previous prime is 36106439. The next prime is 36106471. The reversal of 36106444 is 44460163.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140364 + ... + 140620.

It is an arithmetic number, because the mean of its divisors is an integer number (1502592).

Almost surely, 236106444 is an apocalyptic number.

It is an amenable number.

36106444 is a deficient number, since it is larger than the sum of its proper divisors (36017972).

36106444 is a wasteful number, since it uses less digits than its factorization.

36106444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 36106444 is about 6008.8637861080. The cubic root of 36106444 is about 330.5178401723.

The spelling of 36106444 in words is "thirty-six million, one hundred six thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 31 44 62 103 124 206 257 341 412 514 682 1028 1133 1364 2266 2827 3193 4532 5654 6386 7967 11308 12772 15934 26471 31868 35123 52942 70246 87637 105884 140492 175274 291181 350548 582362 820601 1164724 1641202 3282404 9026611 18053222 36106444