Search a number
-
+
40280652 = 2235291429
BaseRepresentation
bin1001100110101…
…0001001001100
32210210110200000
42121222021030
540302440102
63555204300
7666244206
oct231521114
983713600
1040280652
11208124a5
12115a6690
138464509
1454c7776
15380a01c
hex266a24c

40280652 has 72 divisors (see below), whose sum is σ = 109309200. Its totient is φ = 12954816.

The previous prime is 40280641. The next prime is 40280663. The reversal of 40280652 is 25608204.

40280652 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 0 + 652 = 666.

It is an interprime number because it is at equal distance from previous prime (40280641) and next prime (40280663).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 27474 + ... + 28902.

Almost surely, 240280652 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 40280652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54654600).

40280652 is an abundant number, since it is smaller than the sum of its proper divisors (69028548).

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

40280652 is a wasteful number, since it uses less digits than its factorization.

40280652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40280652 is about 6346.7040265007. The cubic root of 40280652 is about 342.7931728867.

Adding to 40280652 its reverse (25608204), we get a palindrome (65888856).

The spelling of 40280652 in words is "forty million, two hundred eighty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1429 1566 2349 2858 3132 4287 4698 5716 7047 8574 9396 12861 14094 17148 25722 28188 38583 41441 51444 77166 82882 115749 124323 154332 165764 231498 248646 347247 372969 462996 497292 694494 745938 1118907 1388988 1491876 2237814 3356721 4475628 6713442 10070163 13426884 20140326 40280652