Search a number
-
+
40229840 = 2457192199
BaseRepresentation
bin1001100101110…
…1101111010000
32210200212222002
42121131233100
540244323330
63554133132
7665643110
oct231355720
983625862
1040229840
1120788302
12115811a8
138447351
1454b3040
1537e9e45
hex265dbd0

40229840 has 120 divisors (see below), whose sum is σ = 113385600. Its totient is φ = 13001472.

The previous prime is 40229747. The next prime is 40229863. The reversal of 40229840 is 4892204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202061 + ... + 202259.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 240229840 is an apocalyptic number.

40229840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40229840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56692800).

40229840 is an abundant number, since it is smaller than the sum of its proper divisors (73155760).

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

40229840 is a wasteful number, since it uses less digits than its factorization.

40229840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 40229840 is about 6342.6997406467. The cubic root of 40229840 is about 342.6489735011.

The spelling of 40229840 in words is "forty million, two hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 199 266 280 304 361 380 398 532 560 665 722 760 796 995 1064 1330 1393 1444 1520 1592 1805 1990 2128 2527 2660 2786 2888 3184 3610 3781 3980 5054 5320 5572 5776 6965 7220 7562 7960 10108 10640 11144 12635 13930 14440 15124 15920 18905 20216 22288 25270 26467 27860 28880 30248 37810 40432 50540 52934 55720 60496 71839 75620 101080 105868 111440 132335 143678 151240 202160 211736 264670 287356 302480 359195 423472 502873 529340 574712 718390 1005746 1058680 1149424 1436780 2011492 2117360 2514365 2873560 4022984 5028730 5747120 8045968 10057460 20114920 40229840