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40253312 = 2711223113
BaseRepresentation
bin1001100110001…
…1011110000000
32210202002011102
42121203132000
540301101222
63554433532
7666101411
oct231433600
983662142
1040253312
11207a3a00
12115928a8
138454c38
1454bb808
153801d92
hex2663780

40253312 has 96 divisors (see below), whose sum is σ = 92791440. Its totient is φ = 17346560.

The previous prime is 40253303. The next prime is 40253347. The reversal of 40253312 is 21335204.

It is a happy number.

It is a congruent number.

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, 356168 + ... + 356280.

Almost surely, 240253312 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 40253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46395720).

40253312 is an abundant number, since it is smaller than the sum of its proper divisors (52538128).

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

40253312 is a wasteful number, since it uses less digits than its factorization.

40253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 40253312 is about 6344.5497870219. The cubic root of 40253312 is about 342.7155997753.

Adding to 40253312 its reverse (21335204), we get a palindrome (61588516).

It can be divided in two parts, 4025 and 3312, that added together give a palindrome (7337).

The spelling of 40253312 in words is "forty million, two hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 113 121 128 176 184 226 242 253 352 368 452 484 506 704 736 904 968 1012 1243 1408 1472 1808 1936 2024 2486 2599 2783 2944 3616 3872 4048 4972 5198 5566 7232 7744 8096 9944 10396 11132 13673 14464 15488 16192 19888 20792 22264 27346 28589 32384 39776 41584 44528 54692 57178 79552 83168 89056 109384 114356 159104 166336 178112 218768 228712 314479 332672 356224 437536 457424 628958 875072 914848 1257916 1750144 1829696 2515832 3659392 5031664 10063328 20126656 40253312