Search a number
-
+
249404288 = 277278353
BaseRepresentation
bin11101101110110…
…01101110000000
3122101022001100212
432313121232000
51002321414123
640425333252
76115621130
oct1667315600
9571261325
10249404288
11118867151
126b637228
133c894503
14251a2ac0
1516d67878
hexedd9b80

249404288 has 32 divisors (see below), whose sum is σ = 567842160. Its totient is φ = 106887168.

The previous prime is 249404261. The next prime is 249404291. The reversal of 249404288 is 882404942.

249404288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138281 + ... + 140072.

Almost surely, 2249404288 is an apocalyptic number.

249404288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249404288 is an abundant number, since it is smaller than the sum of its proper divisors (318437872).

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

249404288 is an equidigital number, since it uses as much as digits as its factorization.

249404288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278374 (or 278362 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 249404288 is about 15792.5389978939. The cubic root of 249404288 is about 629.4597602622.

The spelling of 249404288 in words is "two hundred forty-nine million, four hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 278353 556706 1113412 1948471 2226824 3896942 4453648 7793884 8907296 15587768 17814592 31175536 35629184 62351072 124702144 249404288