Search a number
-
+
4590426756 = 2232337212149
BaseRepresentation
bin1000100011001110…
…00101101010000100
3102211220200211200210
410101213011222010
533400122124011
62035300435420
7221516661246
oct42147055204
912756624623
104590426756
111a461a3623
12a813a8b70
13582047a66
14317928096
151bd0016a6
hex1119c5a84

4590426756 has 72 divisors (see below), whose sum is σ = 11487873600. Its totient is φ = 1423939968.

The previous prime is 4590426749. The next prime is 4590426769. The reversal of 4590426756 is 6576240954.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371770 + ... + 383918.

It is an arithmetic number, because the mean of its divisors is an integer number (159553800).

Almost surely, 24590426756 is an apocalyptic number.

4590426756 is a gapful number since it is divisible by the number (46) 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 4590426756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743936800).

4590426756 is an abundant number, since it is smaller than the sum of its proper divisors (6897446844).

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

4590426756 is a wasteful number, since it uses less digits than its factorization.

4590426756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The square root of 4590426756 is about 67752.6881828315. The cubic root of 4590426756 is about 1661.9489804934.

The spelling of 4590426756 in words is "four billion, five hundred ninety million, four hundred twenty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1369 1702 2553 2738 3404 4107 5106 5476 8214 10212 12149 16428 24298 31487 36447 48596 62974 72894 94461 125948 145788 188922 279427 377844 449513 558854 838281 899026 1117708 1348539 1676562 1798052 2697078 3353124 5394156 10338799 16631981 20677598 31016397 33263962 41355196 49895943 62032794 66527924 99791886 124065588 199583772 382535563 765071126 1147606689 1530142252 2295213378 4590426756