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5293792350 = 232527112171943
BaseRepresentation
bin1001110111000100…
…01101110001011110
3111122221012111220100
410323202031301132
541320202323400
62233144201530
7245120330640
oct47342156136
914587174810
105293792350
112277231600
121038a692a6
13664995012
143830da890
1520eb3b100
hex13b88dc5e

5293792350 has 864 divisors, whose sum is σ = 20376195840. Its totient is φ = 958003200.

The previous prime is 5293792349. The next prime is 5293792351. The reversal of 5293792350 is 532973925.

5293792350 is a `hidden beast` number, since 5 + 293 + 7 + 9 + 2 + 350 = 666.

It is an interprime number because it is at equal distance from previous prime (5293792349) and next prime (5293792351).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5293792296 and 5293792305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5293792351) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 123111429 + ... + 123111471.

It is an arithmetic number, because the mean of its divisors is an integer number (23583560).

Almost surely, 25293792350 is an apocalyptic number.

5293792350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5293792350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10188097920).

5293792350 is an abundant number, since it is smaller than the sum of its proper divisors (15082403490).

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

5293792350 is a wasteful number, since it uses less digits than its factorization.

5293792350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5293792350 is about 72758.4520863384. The cubic root of 5293792350 is about 1742.8324359028.

The spelling of 5293792350 in words is "five billion, two hundred ninety-three million, seven hundred ninety-two thousand, three hundred fifty".