Search a number
-
+
5291107600 = 245236372
BaseRepresentation
bin1001110110101111…
…11110010100010000
3111122202011010010011
410323113332110100
541314010420400
62233010444304
7245055446452
oct47327762420
914582133104
105291107600
1122757684a9
121037b93694
13664264ccc
143829dc2d2
1520e7aa8ba
hex13b5fe510

5291107600 has 45 divisors (see below), whose sum is σ = 12715382127. Its totient is φ = 2115861120.

The previous prime is 5291107553. The next prime is 5291107603. The reversal of 5291107600 is 67011925.

The square root of 5291107600 is 72740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2526871824 + 2764235776 = 50268^2 + 52576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5291107603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1452982 + ... + 1456618.

Almost surely, 25291107600 is an apocalyptic number.

5291107600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5291107600 is the 72740-th square number.

It is an amenable number.

5291107600 is an abundant number, since it is smaller than the sum of its proper divisors (7424274527).

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

5291107600 is an frugal number, since it uses more digits than its factorization.

5291107600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The cubic root of 5291107600 is about 1742.5377599066.

The spelling of 5291107600 in words is "five billion, two hundred ninety-one million, one hundred seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3637 7274 14548 18185 29096 36370 58192 72740 90925 145480 181850 290960 363700 727400 1454800 13227769 26455538 52911076 66138845 105822152 132277690 211644304 264555380 330694225 529110760 661388450 1058221520 1322776900 2645553800 5291107600