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5203538000 = 245316132
BaseRepresentation
bin1001101100010011…
…11011000001010000
3111102122101010012122
410312021323001100
541124101204000
62220201513412
7242643225503
oct46611730120
914378333178
105203538000
112230297131
1210127a2868
1364c08438b
1437512513a
15206c5e085
hex13627b050

5203538000 has 60 divisors (see below), whose sum is σ = 12589960188. Its totient is φ = 2080124800.

The previous prime is 5203537993. The next prime is 5203538033. The reversal of 5203538000 is 8353025.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1107025984 + 4096512016 = 33272^2 + 64004^2 .

It is a congruent number.

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, 3225194 + ... + 3226806.

Almost surely, 25203538000 is an apocalyptic number.

5203538000 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 5203538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294980094).

5203538000 is an abundant number, since it is smaller than the sum of its proper divisors (7386422188).

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

5203538000 is an frugal number, since it uses more digits than its factorization.

5203538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5203538000 is about 72135.5529541432. The cubic root of 5203538000 is about 1732.8710387776.

The spelling of 5203538000 in words is "five billion, two hundred three million, five hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1613 2000 3226 6452 8065 12904 16130 25808 32260 40325 64520 80650 129040 161300 201625 322600 403250 645200 806500 1613000 2601769 3226000 5203538 10407076 13008845 20814152 26017690 41628304 52035380 65044225 104070760 130088450 208141520 260176900 325221125 520353800 650442250 1040707600 1300884500 2601769000 5203538000