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5254364100 = 2235243140637
BaseRepresentation
bin1001110010010111…
…10011101111000100
3111120012000100111210
410321023303233010
541230104122400
62225215131420
7244131233526
oct47113635704
914505010453
105254364100
112256a51577
121027813b70
1365976b7ab
1437bb95a16
1520b44d950
hex1392f3bc4

5254364100 has 72 divisors (see below), whose sum is σ = 15238274688. Its totient is φ = 1397878400.

The previous prime is 5254364083. The next prime is 5254364119. The reversal of 5254364100 is 14634525.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 108982 + ... + 149618.

It is an arithmetic number, because the mean of its divisors is an integer number (211642704).

Almost surely, 25254364100 is an apocalyptic number.

5254364100 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 5254364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619137344).

5254364100 is an abundant number, since it is smaller than the sum of its proper divisors (9983910588).

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

5254364100 is a wasteful number, since it uses less digits than its factorization.

5254364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41085 (or 41078 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5254364100 is about 72486.9926262636. The cubic root of 5254364100 is about 1738.4947677291.

Adding to 5254364100 its reverse (14634525), we get a palindrome (5268998625).

The spelling of 5254364100 in words is "five billion, two hundred fifty-four million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 431 862 1293 1724 2155 2586 4310 5172 6465 8620 10775 12930 21550 25860 32325 40637 43100 64650 81274 121911 129300 162548 203185 243822 406370 487644 609555 812740 1015925 1219110 2031850 2438220 3047775 4063700 6095550 12191100 17514547 35029094 52543641 70058188 87572735 105087282 175145470 210174564 262718205 350290940 437863675 525436410 875727350 1050872820 1313591025 1751454700 2627182050 5254364100