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5082903540 = 2232511131811091
BaseRepresentation
bin1001011101111011…
…01111001111110100
3111010020101020211200
410232331233033310
540402210403130
62200212132500
7236646652521
oct45675571764
914106336750
105082903540
112179191730
12b9a307130
13630097740
143630c2148
151eb380760
hex12ef6f3f4

5082903540 has 288 divisors, whose sum is σ = 18230389632. Its totient is φ = 1130112000.

The previous prime is 5082903521. The next prime is 5082903557. The reversal of 5082903540 is 453092805.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5082903495 and 5082903504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4658395 + ... + 4659485.

It is an arithmetic number, because the mean of its divisors is an integer number (63299964).

Almost surely, 25082903540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082903540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9115194816).

5082903540 is an abundant number, since it is smaller than the sum of its proper divisors (13147486092).

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

5082903540 is a wasteful number, since it uses less digits than its factorization.

5082903540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5082903540 is about 71294.4846394165. The cubic root of 5082903540 is about 1719.3750591537.

The spelling of 5082903540 in words is "five billion, eighty-two million, nine hundred three thousand, five hundred forty".