Search a number
-
+
53442104200 = 23521673594457
BaseRepresentation
bin110001110001011001…
…011100101110001000
312002221110202011220121
4301301121130232020
51333422134313300
640315001433024
73601226250652
oct616131345610
9162843664817
1053442104200
1120734746971
12a43579b774
135068c18084
14282d93b6d2
1515cbb6781a
hexc7165cb88

53442104200 has 96 divisors (see below), whose sum is σ = 125373225600. Its totient is φ = 21184893440.

The previous prime is 53442104197. The next prime is 53442104207. The reversal of 53442104200 is 240124435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (53442104207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11988372 + ... + 11992828.

It is an arithmetic number, because the mean of its divisors is an integer number (1305971100).

Almost surely, 253442104200 is an apocalyptic number.

53442104200 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 53442104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62686612800).

53442104200 is an abundant number, since it is smaller than the sum of its proper divisors (71931121400).

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

53442104200 is a wasteful number, since it uses less digits than its factorization.

53442104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 53442104200 its reverse (240124435), we get a palindrome (53682228635).

The spelling of 53442104200 in words is "fifty-three billion, four hundred forty-two million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 359 668 718 835 1336 1436 1670 1795 2872 3340 3590 4175 4457 6680 7180 8350 8914 8975 14360 16700 17828 17950 22285 33400 35656 35900 44570 59953 71800 89140 111425 119906 178280 222850 239812 299765 445700 479624 599530 744319 891400 1199060 1488638 1498825 1600063 2398120 2977276 2997650 3200126 3721595 5954552 5995300 6400252 7443190 8000315 11990600 12800504 14886380 16000630 18607975 29772760 32001260 37215950 40001575 64002520 74431900 80003150 148863800 160006300 267210521 320012600 534421042 1068842084 1336052605 2137684168 2672105210 5344210420 6680263025 10688420840 13360526050 26721052100 53442104200