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5442303100 = 22521341102107
BaseRepresentation
bin1010001000110001…
…01111010001111100
3112001021122122100111
411010120233101330
542121212144400
62300011235404
7251602545613
oct50430572174
915037578314
105442303100
112343046963
12107a748b64
136896920c0
14398b1887a
1521cbc43ba
hex14462f47c

5442303100 has 72 divisors (see below), whose sum is σ = 13028572368. Its totient is φ = 1960435200.

The previous prime is 5442303023. The next prime is 5442303103. The reversal of 5442303100 is 13032445.

It is a super-2 number, since 2×54423031002 = 59237326064539220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5442303103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2247 + ... + 104353.

It is an arithmetic number, because the mean of its divisors is an integer number (180952394).

Almost surely, 25442303100 is an apocalyptic number.

5442303100 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 5442303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514286184).

5442303100 is an abundant number, since it is smaller than the sum of its proper divisors (7586269268).

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

5442303100 is a wasteful number, since it uses less digits than its factorization.

5442303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102175 (or 102168 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 5442303100 is about 73771.9668980027. The cubic root of 5442303100 is about 1758.9800284150.

Adding to 5442303100 its reverse (13032445), we get a palindrome (5455335545).

The spelling of 5442303100 in words is "five billion, four hundred forty-two million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1300 2050 2132 2665 4100 5330 10660 13325 26650 53300 102107 204214 408428 510535 1021070 1327391 2042140 2552675 2654782 4186387 5105350 5309564 6636955 8372774 10210700 13273910 16745548 20931935 26547820 33184775 41863870 54423031 66369550 83727740 104659675 108846062 132739100 209319350 217692124 272115155 418638700 544230310 1088460620 1360575775 2721151550 5442303100