Search a number
-
+
40362984 = 2332560597
BaseRepresentation
bin1001100111111…
…0001111101000
32210221122121100
42121332033220
540313103414
64001041400
71000036224
oct231761750
983848540
1040362984
1120869342
1211626260
138492b2c
145509784
153824609
hex267e3e8

40362984 has 24 divisors (see below), whose sum is σ = 109316610. Its totient is φ = 13454304.

The previous prime is 40362943. The next prime is 40362991. The reversal of 40362984 is 48926304.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34222500 + 6140484 = 5850^2 + 2478^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280227 + ... + 280370.

Almost surely, 240362984 is an apocalyptic number.

It is an amenable number.

40362984 is an abundant number, since it is smaller than the sum of its proper divisors (68953626).

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

40362984 is a wasteful number, since it uses less digits than its factorization.

40362984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560609 (or 560602 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 40362984 is about 6353.1869168158. The cubic root of 40362984 is about 343.0265656707.

The spelling of 40362984 in words is "forty million, three hundred sixty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 560597 1121194 1681791 2242388 3363582 4484776 5045373 6727164 10090746 13454328 20181492 40362984