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255632416 = 25131075743
BaseRepresentation
bin11110011110010…
…10010000100000
3122211000110202021
433033022100200
51010420214131
641211031224
76222561004
oct1717122040
9584013667
10255632416
11121330466
127173b514
1340c652b0
1425d44704
1517697e11
hexf3ca420

255632416 has 48 divisors (see below), whose sum is σ = 547150464. Its totient is φ = 116861184.

The previous prime is 255632413. The next prime is 255632423. The reversal of 255632416 is 614236552.

255632416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (255632413) 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, 41641 + ... + 47383.

It is an arithmetic number, because the mean of its divisors is an integer number (11398968).

Almost surely, 2255632416 is an apocalyptic number.

255632416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255632416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273575232).

255632416 is an abundant number, since it is smaller than the sum of its proper divisors (291518048).

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

255632416 is a wasteful number, since it uses less digits than its factorization.

255632416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5865 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 255632416 is about 15988.5088735629. The cubic root of 255632416 is about 634.6563672818.

Adding to 255632416 its reverse (614236552), we get a palindrome (869868968).

The spelling of 255632416 in words is "two hundred fifty-five million, six hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 856 1391 1712 2782 3424 5564 5743 11128 11486 22256 22972 44512 45944 74659 91888 149318 183776 298636 597272 614501 1194544 1229002 2389088 2458004 4916008 7988513 9832016 15977026 19664032 31954052 63908104 127816208 255632416