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5145533200 = 245261720849
BaseRepresentation
bin1001100101011001…
…01001101100010000
3111021121020011120201
410302230221230100
541014224030300
62210330344544
7241340211343
oct46254515420
914247204521
105145533200
112200579285
12bb728b154
13640055602
1436b54645a
15201b0266a
hex132b29b10

5145533200 has 60 divisors (see below), whose sum is σ = 12382773300. Its totient is φ = 2054778880.

The previous prime is 5145533189. The next prime is 5145533231. The reversal of 5145533200 is 23355415.

It can be written as a sum of positive squares in 6 ways, for example, as 193877776 + 4951655424 = 13924^2 + 70368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236376 + ... + 257224.

It is an arithmetic number, because the mean of its divisors is an integer number (206379555).

Almost surely, 25145533200 is an apocalyptic number.

5145533200 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 5145533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191386650).

5145533200 is an abundant number, since it is smaller than the sum of its proper divisors (7237240100).

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

5145533200 is a wasteful number, since it uses less digits than its factorization.

5145533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21484 (or 21473 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 5145533200 is about 71732.3720505603. The cubic root of 5145533200 is about 1726.4080864465.

Adding to 5145533200 its reverse (23355415), we get a palindrome (5168888615).

The spelling of 5145533200 in words is "five billion, one hundred forty-five million, five hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 617 1234 2468 3085 4936 6170 9872 12340 15425 20849 24680 30850 41698 49360 61700 83396 104245 123400 166792 208490 246800 333584 416980 521225 833960 1042450 1667920 2084900 4169800 8339600 12863833 25727666 51455332 64319165 102910664 128638330 205821328 257276660 321595825 514553320 643191650 1029106640 1286383300 2572766600 5145533200