Search a number
-
+
40323636 = 22333710091
BaseRepresentation
bin1001100111010…
…0101000110100
32210212122122000
42121310220310
540310324021
64000135300
7666513423
oct231645064
983778560
1040323636
1120841821
1211607530
13847ac52
1454d92ba
153817b26
hex2674a34

40323636 has 48 divisors (see below), whose sum is σ = 107378880. Its totient is φ = 13076640.

The previous prime is 40323631. The next prime is 40323649. The reversal of 40323636 is 63632304.

40323636 is a `hidden beast` number, since 4 + 0 + 3 + 23 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40323631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050 + ... + 9041.

It is an arithmetic number, because the mean of its divisors is an integer number (2237060).

Almost surely, 240323636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40323636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53689440).

40323636 is an abundant number, since it is smaller than the sum of its proper divisors (67055244).

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

40323636 is a wasteful number, since it uses less digits than its factorization.

40323636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10141 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 40323636 is about 6350.0894481889. The cubic root of 40323636 is about 342.9150625364.

The spelling of 40323636 in words is "forty million, three hundred twenty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 10091 20182 30273 40364 60546 90819 121092 181638 272457 363276 373367 544914 746734 1089828 1120101 1493468 2240202 3360303 4480404 6720606 10080909 13441212 20161818 40323636