Search a number
-
+
40952232 = 2332718011
BaseRepresentation
bin1001110000111…
…0000110101000
32212001120220100
42130032012220
540440432412
64021425400
71005042156
oct234160650
985046810
1040952232
1121131022
121186b260
13863b0b9
1456203d6
1538ddedc
hex270e1a8

40952232 has 48 divisors (see below), whose sum is σ = 112488480. Its totient is φ = 13456800.

The previous prime is 40952189. The next prime is 40952243. The reversal of 40952232 is 23225904.

It is a junction number, because it is equal to n+sod(n) for n = 40952196 and 40952205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1107 + ... + 9117.

It is an arithmetic number, because the mean of its divisors is an integer number (2343510).

Almost surely, 240952232 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 40952232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56244240).

40952232 is an abundant number, since it is smaller than the sum of its proper divisors (71536248).

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

40952232 is a wasteful number, since it uses less digits than its factorization.

40952232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40952232 is about 6399.3930962240. The cubic root of 40952232 is about 344.6877578182.

The spelling of 40952232 in words is "forty million, nine hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 8011 16022 24033 32044 48066 64088 72099 96132 144198 192264 288396 568781 576792 1137562 1706343 2275124 3412686 4550248 5119029 6825372 10238058 13650744 20476116 40952232