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255400432 = 24719257467
BaseRepresentation
bin11110011100100…
…01100111110000
3122210120200112021
433032101213300
51010340303212
641202041224
76220603450
oct1716214760
9583520467
10255400432
11121192141
1271649214
1340bb3821
1425cc3d60
151764e307
hexf3919f0

255400432 has 80 divisors (see below), whose sum is σ = 598890240. Its totient is φ = 103071744.

The previous prime is 255400373. The next prime is 255400447. The reversal of 255400432 is 234004552.

It is a junction number, because it is equal to n+sod(n) for n = 255400397 and 255400406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546663 + ... + 547129.

It is an arithmetic number, because the mean of its divisors is an integer number (7486128).

Almost surely, 2255400432 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 255400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299445120).

255400432 is an abundant number, since it is smaller than the sum of its proper divisors (343489808).

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

255400432 is a wasteful number, since it uses less digits than its factorization.

255400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 255400432 is about 15981.2525166208. The cubic root of 255400432 is about 634.4643276282.

Adding to 255400432 its reverse (234004552), we get a palindrome (489404984).

The spelling of 255400432 in words is "two hundred fifty-five million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 257 266 304 467 514 532 934 1028 1064 1799 1868 2056 2128 3269 3598 3736 4112 4883 6538 7196 7472 8873 9766 13076 14392 17746 19532 26152 28784 34181 35492 39064 52304 62111 68362 70984 78128 120019 124222 136724 141968 240038 248444 273448 480076 496888 546896 840133 960152 993776 1680266 1920304 2280361 3360532 4560722 6721064 9121444 13442128 15962527 18242888 31925054 36485776 63850108 127700216 255400432