Search a number
-
+
40284840 = 2335389863
BaseRepresentation
bin1001100110101…
…1001010101000
32210210200102010
42121223022220
540303103330
63555235520
7666262341
oct231531250
983720363
1040284840
1120815662
12115a8ba0
1384663ab
1454c90c8
15380b3b0
hex266b2a8

40284840 has 64 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 10702592.

The previous prime is 40284833. The next prime is 40284859. The reversal of 40284840 is 4848204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40284798 and 40284807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46249 + ... + 47111.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 240284840 is an apocalyptic number.

40284840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40284840 is an abundant number, since it is smaller than the sum of its proper divisors (81020760).

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

40284840 is a wasteful number, since it uses less digits than its factorization.

40284840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 40284840 is about 6347.0339529579. The cubic root of 40284840 is about 342.8050526022.

The spelling of 40284840 in words is "forty million, two hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 389 778 863 1167 1556 1726 1945 2334 2589 3112 3452 3890 4315 4668 5178 5835 6904 7780 8630 9336 10356 11670 12945 15560 17260 20712 23340 25890 34520 46680 51780 103560 335707 671414 1007121 1342828 1678535 2014242 2685656 3357070 4028484 5035605 6714140 8056968 10071210 13428280 20142420 40284840