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216753376 = 2572334153
BaseRepresentation
bin11001110101101…
…10010011100000
3120002212012201211
430322312103200
5420442102001
633301435504
75241242020
oct1472662340
9502765654
10216753376
11101396024
126070bb94
1335ba1a48
1420b03a80
1514068351
hexceb64e0

216753376 has 48 divisors (see below), whose sum is σ = 489906144. Its totient is φ = 92473344.

The previous prime is 216753307. The next prime is 216753377. The reversal of 216753376 is 673357612.

216753376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216753377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50116 + ... + 54268.

It is an arithmetic number, because the mean of its divisors is an integer number (10206378).

Almost surely, 2216753376 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 216753376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244953072).

216753376 is an abundant number, since it is smaller than the sum of its proper divisors (273152768).

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

216753376 is a wasteful number, since it uses less digits than its factorization.

216753376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4395 counting only the distinct ones).

The product of its digits is 158760, while the sum is 40.

The square root of 216753376 is about 14722.5465188601. The cubic root of 216753376 is about 600.6967609308.

The spelling of 216753376 in words is "two hundred sixteen million, seven hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 233 466 932 1631 1864 3262 3728 4153 6524 7456 8306 13048 16612 26096 29071 33224 52192 58142 66448 116284 132896 232568 465136 930272 967649 1935298 3870596 6773543 7741192 13547086 15482384 27094172 30964768 54188344 108376688 216753376