Search a number
-
+
40355840 = 21157563
BaseRepresentation
bin1001100111110…
…0100000000000
32210221021210202
42121330200000
540312341330
64000544332
71000006340
oct231744000
983837722
1040355840
1120863a38
12116220a8
13848c7c5
145506d20
153822445
hex267c800

40355840 has 96 divisors (see below), whose sum is σ = 110859840. Its totient is φ = 13811712.

The previous prime is 40355837. The next prime is 40355857. The reversal of 40355840 is 4855304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71399 + ... + 71961.

It is an arithmetic number, because the mean of its divisors is an integer number (1154790).

Almost surely, 240355840 is an apocalyptic number.

40355840 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 40355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55429920).

40355840 is an abundant number, since it is smaller than the sum of its proper divisors (70504000).

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

40355840 is an equidigital number, since it uses as much as digits as its factorization.

40355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 40355840 is about 6352.6246544243. The cubic root of 40355840 is about 343.0063266122.

The spelling of 40355840 in words is "forty million, three hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 563 640 896 1024 1120 1126 1280 1792 2048 2240 2252 2560 2815 3584 3941 4480 4504 5120 5630 7168 7882 8960 9008 10240 11260 14336 15764 17920 18016 19705 22520 31528 35840 36032 39410 45040 63056 71680 72064 78820 90080 126112 144128 157640 180160 252224 288256 315280 360320 504448 576512 630560 720640 1008896 1153024 1261120 1441280 2017792 2522240 2882560 4035584 5044480 5765120 8071168 10088960 20177920 40355840