Search a number
-
+
40348992 = 263239137
BaseRepresentation
bin1001100111101…
…0110101000000
32210220221102010
42121322311000
540312131432
64000452520
7666650355
oct231726500
983827363
1040348992
1120859882
121161a140
138489658
14550462c
1538203cc
hex267ad40

40348992 has 56 divisors (see below), whose sum is σ = 111410496. Its totient is φ = 12863488.

The previous prime is 40348991. The next prime is 40349009. The reversal of 40348992 is 29984304.

It is a self number, because there is not a number n which added to its sum of digits gives 40348992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40348991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 8984.

Almost surely, 240348992 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 40348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55705248).

40348992 is an abundant number, since it is smaller than the sum of its proper divisors (71061504).

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

40348992 is a wasteful number, since it uses less digits than its factorization.

40348992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 40348992 is about 6352.0856417400. The cubic root of 40348992 is about 342.9869238839.

The spelling of 40348992 in words is "forty million, three hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 9137 18274 27411 36548 54822 73096 109644 146192 210151 219288 292384 420302 438576 584768 630453 840604 877152 1260906 1681208 1754304 2521812 3362416 5043624 6724832 10087248 13449664 20174496 40348992