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4631908420 = 2252921132437
BaseRepresentation
bin1000101000001010…
…10101000001000100
3102221210202022211201
410110011111001010
533441232032140
62043341512244
7222532400116
oct42405250104
912853668751
104631908420
111a67656397
12a93272684
1358a80cb19
1431d2453b6
151c199749a
hex114155044

4631908420 has 72 divisors (see below), whose sum is σ = 10167308424. Its totient is φ = 1772316672.

The previous prime is 4631908403. The next prime is 4631908469. The reversal of 4631908420 is 248091364.

It can be written as a sum of positive squares in 12 ways, for example, as 1043419204 + 3588489216 = 32302^2 + 59904^2 .

It is a super-2 number, since 2×46319084202 = 42909151222533792800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4631908420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899442 + ... + 1901878.

It is an arithmetic number, because the mean of its divisors is an integer number (141212617).

Almost surely, 24631908420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4631908420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083654212).

4631908420 is an abundant number, since it is smaller than the sum of its proper divisors (5535400004).

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

4631908420 is a wasteful number, since it uses less digits than its factorization.

4631908420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 4631908420 is about 68058.1253047717. The cubic root of 4631908420 is about 1666.9400766568.

Adding to 4631908420 its reverse (248091364), we get a palindrome (4879999784).

The spelling of 4631908420 in words is "four billion, six hundred thirty-one million, nine hundred eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 113 116 145 226 290 452 565 580 841 1130 1682 2260 2437 3277 3364 4205 4874 6554 8410 9748 12185 13108 16385 16820 24370 32770 48740 65540 70673 95033 141346 190066 275381 282692 353365 380132 475165 550762 706730 950330 1101524 1376905 1413460 1900660 2049517 2753810 4099034 5507620 7986049 8198068 10247585 15972098 20495170 31944196 39930245 40990340 79860490 159720980 231595421 463190842 926381684 1157977105 2315954210 4631908420