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5185902240 = 2532537131743
BaseRepresentation
bin1001101010001101…
…01001011010100000
3111101102012010111100
410311012221122200
541110042332430
62214331514400
7242340304341
oct46506513240
914342163440
105185902240
112221341122
1210088b8a00
1364851b10c
14372a540c8
15205428960
hex1351a96a0

5185902240 has 288 divisors, whose sum is σ = 18338576256. Its totient is φ = 1333463040.

The previous prime is 5185902223. The next prime is 5185902247. The reversal of 5185902240 is 422095815.

5185902240 is a `hidden beast` number, since 5 + 1 + 8 + 590 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5185902195 and 5185902204.

It is not an unprimeable number, because it can be changed into a prime (5185902247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6979309 + ... + 6980051.

It is an arithmetic number, because the mean of its divisors is an integer number (63675612).

Almost surely, 25185902240 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 5185902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169288128).

5185902240 is an abundant number, since it is smaller than the sum of its proper divisors (13152674016).

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

5185902240 is a wasteful number, since it uses less digits than its factorization.

5185902240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5185902240 is about 72013.2087883883. The cubic root of 5185902240 is about 1730.9111486683.

The spelling of 5185902240 in words is "five billion, one hundred eighty-five million, nine hundred two thousand, two hundred forty".