Search a number
-
+
40100256 = 2532719891
BaseRepresentation
bin1001100011111…
…0000110100000
32210110022012200
42120332012200
540231202011
63551253200
7664563240
oct230760640
983408180
1040100256
11206a9a09
121151a200
138400381
14547bb20
1537c1856
hex263e1a0

40100256 has 72 divisors (see below), whose sum is σ = 130332384. Its totient is φ = 11456640.

The previous prime is 40100239. The next prime is 40100257. The reversal of 40100256 is 65200104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40100257) by changing a digit.

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, 7930 + ... + 11961.

It is an arithmetic number, because the mean of its divisors is an integer number (1810172).

Almost surely, 240100256 is an apocalyptic number.

It is an amenable number.

40100256 is an abundant number, since it is smaller than the sum of its proper divisors (90232128).

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

40100256 is a wasteful number, since it uses less digits than its factorization.

40100256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19914 (or 19903 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40100256 is about 6332.4762928889. The cubic root of 40100256 is about 342.2806765338.

The spelling of 40100256 in words is "forty million, one hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 19891 39782 59673 79564 119346 139237 159128 179019 238692 278474 318256 358038 417711 477384 556948 636512 716076 835422 954768 1113896 1253133 1432152 1670844 1909536 2227792 2506266 2864304 3341688 4455584 5012532 5728608 6683376 10025064 13366752 20050128 40100256