Search a number
-
+
40936932 = 22321137137
BaseRepresentation
bin1001110000101…
…0010111100100
32212000210220200
42130022113210
540434440212
64021230500
71004646441
oct234122744
985023820
1040936932
1121120583
1211862430
13863414a
1456189c8
1538d96dc
hex270a5e4

40936932 has 18 divisors (see below), whose sum is σ = 103479558. Its totient is φ = 13645632.

The previous prime is 40936921. The next prime is 40936937. The reversal of 40936932 is 23963904.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40755456 + 181476 = 6384^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1137137 = 40936932 / (4 + 0 + 9 + 3 + 6 + 9 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (40936937) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 568533 + ... + 568604.

Almost surely, 240936932 is an apocalyptic number.

It is an amenable number.

40936932 is an abundant number, since it is smaller than the sum of its proper divisors (62542626).

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

40936932 is a wasteful number, since it uses less digits than its factorization.

40936932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137147 (or 1137142 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 40936932 is about 6398.1975586879. The cubic root of 40936932 is about 344.6448266653.

It can be divided in two parts, 4093 and 6932, that added together give a square (11025 = 1052).

The spelling of 40936932 in words is "forty million, nine hundred thirty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1137137 2274274 3411411 4548548 6822822 10234233 13645644 20468466 40936932