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255989552 = 247131091613
BaseRepresentation
bin11110100001000…
…01011100110000
3122211200121122112
433100201130300
51011013131202
641222424452
76225606140
oct1720413460
9584617575
10255989552
11121554815
1271892128
134105ba10
1425dd8920
1517718b52
hexf421730

255989552 has 80 divisors (see below), whose sum is σ = 616418880. Its totient is φ = 100279296.

The previous prime is 255989549. The next prime is 255989557.

255989552 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 255989552.

It is not an unprimeable number, because it can be changed into a prime (255989557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157898 + ... + 159510.

It is an arithmetic number, because the mean of its divisors is an integer number (7705236).

Almost surely, 2255989552 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 255989552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308209440).

255989552 is an abundant number, since it is smaller than the sum of its proper divisors (360429328).

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

255989552 is a wasteful number, since it uses less digits than its factorization.

255989552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1744 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 50.

The square root of 255989552 is about 15999.6734966686. The cubic root of 255989552 is about 634.9517825624.

The spelling of 255989552 in words is "two hundred fifty-five million, nine hundred eighty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 109 112 182 208 218 364 436 728 763 872 1417 1456 1526 1613 1744 2834 3052 3226 5668 6104 6452 9919 11291 11336 12208 12904 19838 20969 22582 22672 25808 39676 41938 45164 79352 83876 90328 146783 158704 167752 175817 180656 293566 335504 351634 587132 703268 1174264 1230719 1406536 2285621 2348528 2461438 2813072 4571242 4922876 9142484 9845752 15999347 18284968 19691504 31998694 36569936 63997388 127994776 255989552