Search a number
-
+
36404704 = 257331491
BaseRepresentation
bin1000101011011…
…1110111100000
32112111112212101
42022313313200
533304422304
63340140144
7621302110
oct212676740
975445771
1036404704
1119605436
1210237654
13770825b
144b99040
1532e18a4
hex22b7de0

36404704 has 48 divisors (see below), whose sum is σ = 82325376. Its totient is φ = 15523200.

The previous prime is 36404663. The next prime is 36404747. The reversal of 36404704 is 40740463.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73899 + ... + 74389.

It is an arithmetic number, because the mean of its divisors is an integer number (1715112).

Almost surely, 236404704 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 36404704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41162688).

36404704 is an abundant number, since it is smaller than the sum of its proper divisors (45920672).

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

36404704 is a wasteful number, since it uses less digits than its factorization.

36404704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 36404704 is about 6033.6310792093. The cubic root of 36404704 is about 331.4254348268.

The spelling of 36404704 in words is "thirty-six million, four hundred four thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 331 491 662 982 1324 1964 2317 2648 3437 3928 4634 5296 6874 7856 9268 10592 13748 15712 18536 27496 37072 54992 74144 109984 162521 325042 650084 1137647 1300168 2275294 2600336 4550588 5200672 9101176 18202352 36404704