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493222032 = 243222914957
BaseRepresentation
bin11101011001011…
…111100010010000
31021101002021102200
4131121133202100
52002231101112
6120535243200
715136214052
oct3531374220
91241067380
10493222032
11233458016
12119219500
137b250c74
144970d8d2
152d479cdc
hex1d65f890

493222032 has 60 divisors (see below), whose sum is σ = 1386457020. Its totient is φ = 163678464.

The previous prime is 493222031. The next prime is 493222033. The reversal of 493222032 is 230222394.

It is an interprime number because it is at equal distance from previous prime (493222031) and next prime (493222033).

It can be written as a sum of positive squares in 2 ways, for example, as 310323456 + 182898576 = 17616^2 + 13524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 493221987 and 493222005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493222031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25498 + ... + 40454.

It is an arithmetic number, because the mean of its divisors is an integer number (23107617).

Almost surely, 2493222032 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 493222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693228510).

493222032 is an abundant number, since it is smaller than the sum of its proper divisors (893234988).

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

493222032 is a wasteful number, since it uses less digits than its factorization.

493222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15200 (or 15191 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 493222032 is about 22208.6026575289. The cubic root of 493222032 is about 790.0977457435.

The spelling of 493222032 in words is "four hundred ninety-three million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 14957 16488 29914 32976 44871 59828 89742 119656 134613 179484 239312 269226 358968 538452 717936 1076904 2153808 3425153 6850306 10275459 13700612 20550918 27401224 30826377 41101836 54802448 61652754 82203672 123305508 164407344 246611016 493222032