Search a number
-
+
255976896 = 2637283673
BaseRepresentation
bin11110100000111…
…10010111000000
3122211122222021210
433100132113000
51011012230041
641222250120
76225524220
oct1720362700
9584588253
10255976896
1112154625a
1271886940
1341056026
1425dd4080
1517715016
hexf41e5c0

255976896 has 112 divisors (see below), whose sum is σ = 777914624. Its totient is φ = 72769536.

The previous prime is 255976879. The next prime is 255976921. The reversal of 255976896 is 698679552.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380016 + ... + 380688.

Almost surely, 2255976896 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 255976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388957312).

255976896 is an abundant number, since it is smaller than the sum of its proper divisors (521937728).

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

255976896 is a wasteful number, since it uses less digits than its factorization.

255976896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 57.

The square root of 255976896 is about 15999.2779837091. The cubic root of 255976896 is about 634.9413184866.

The spelling of 255976896 in words is "two hundred fifty-five million, nine hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 283 336 448 566 672 673 849 1132 1344 1346 1698 1981 2019 2264 2692 3396 3962 4038 4528 4711 5384 5943 6792 7924 8076 9056 9422 10768 11886 13584 14133 15848 16152 18112 18844 21536 23772 27168 28266 31696 32304 37688 43072 47544 54336 56532 63392 64608 75376 95088 113064 126784 129216 150752 190176 190459 226128 301504 380352 380918 452256 571377 761836 904512 1142754 1333213 1523672 2285508 2666426 3047344 3999639 4571016 5332852 6094688 7999278 9142032 10665704 12189376 15998556 18284064 21331408 31997112 36568128 42662816 63994224 85325632 127988448 255976896