Search a number
-
+
5461655300 = 2252533792719
BaseRepresentation
bin1010001011000101…
…00011111100000100
3112002122001211120122
411011202203330010
542141140432200
62301542121112
7252226206203
oct50542437404
915078054518
105461655300
112352a64512
121085120198
136906a96ca
1439b51523a
1521e748385
hex1458a3f04

5461655300 has 72 divisors (see below), whose sum is σ = 12111724800. Its totient is φ = 2137000320.

The previous prime is 5461655293. The next prime is 5461655321. The reversal of 5461655300 is 35561645.

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, 2007341 + ... + 2010059.

It is an arithmetic number, because the mean of its divisors is an integer number (168218400).

Almost surely, 25461655300 is an apocalyptic number.

5461655300 is a gapful number since it is divisible by the number (50) 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 5461655300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055862400).

5461655300 is an abundant number, since it is smaller than the sum of its proper divisors (6650069500).

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

5461655300 is a wasteful number, since it uses less digits than its factorization.

5461655300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 5461655300 is about 73903.0127937962. The cubic root of 5461655300 is about 1761.0624718590.

The spelling of 5461655300 in words is "five billion, four hundred sixty-one million, six hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 379 530 758 1060 1325 1516 1895 2650 2719 3790 5300 5438 7580 9475 10876 13595 18950 20087 27190 37900 40174 54380 67975 80348 100435 135950 144107 200870 271900 288214 401740 502175 576428 720535 1004350 1030501 1441070 2008700 2061002 2882140 3602675 4122004 5152505 7205350 10305010 14410700 20610020 25762525 51525050 54616553 103050100 109233106 218466212 273082765 546165530 1092331060 1365413825 2730827650 5461655300