Search a number
-
+
4035325440 = 2935525433
BaseRepresentation
bin1111000010000110…
…0010111000000000
3101102020011202211210
43300201202320000
531231020403230
61504231010120
7201666462126
oct36041427000
911366152753
104035325440
111790921803
12947509940
134c403c643
142a3d0b916
15189401eb0
hexf0862e00

4035325440 has 80 divisors (see below), whose sum is σ = 12900455568. Its totient is φ = 1076084736.

The previous prime is 4035325391. The next prime is 4035325447. The reversal of 4035325440 is 445235304.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40353254402 = 32567702813422387200, which contains 22 as substring.

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 = 4035325398 and 4035325407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4035325447) 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 7 ways as a sum of consecutive naturals, for example, 255037 + ... + 270396.

Almost surely, 24035325440 is an apocalyptic number.

4035325440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4035325440 is an abundant number, since it is smaller than the sum of its proper divisors (8865130128).

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

4035325440 is an equidigital number, since it uses as much as digits as its factorization.

4035325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525459 (or 525443 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 4035325440 is about 63524.2114472899. The cubic root of 4035325440 is about 1592.0603328902.

The spelling of 4035325440 in words is "four billion, thirty-five million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 525433 1050866 1576299 2101732 2627165 3152598 4203464 5254330 6305196 7881495 8406928 10508660 12610392 15762990 16813856 21017320 25220784 31525980 33627712 42034640 50441568 63051960 67255424 84069280 100883136 126103920 134510848 168138560 201766272 252207840 269021696 336277120 403532544 504415680 672554240 807065088 1008831360 1345108480 2017662720 4035325440