[go: up one dir, main page]

Search a number
-
+
248069088 = 2533287117
BaseRepresentation
bin11101100100100…
…11101111100000
3122021210012211000
432302103233200
51002001202323
640340552000
76101360331
oct1662235740
9567705730
10248069088
11118034a83
126b0b2600
133c517857
1424d36288
1516ba1e43
hexec93be0

248069088 has 48 divisors (see below), whose sum is σ = 723537360. Its totient is φ = 82689408.

The previous prime is 248069069. The next prime is 248069167. The reversal of 248069088 is 880960842.

It is a happy number.

248069088 is a `hidden beast` number, since 2 + 480 + 6 + 90 + 88 = 666.

248069088 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 (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142695 + ... + 144422.

It is an arithmetic number, because the mean of its divisors is an integer number (15073695).

Almost surely, 2248069088 is an apocalyptic number.

It is an amenable number.

248069088 is an abundant number, since it is smaller than the sum of its proper divisors (475468272).

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

248069088 is a wasteful number, since it uses less digits than its factorization.

248069088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287136 (or 287122 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 248069088 is about 15750.2091414686. The cubic root of 248069088 is about 628.3344669181.

The spelling of 248069088 in words is "two hundred forty-eight million, sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 287117 574234 861351 1148468 1722702 2296936 2584053 3445404 4593872 5168106 6890808 7752159 9187744 10336212 13781616 15504318 20672424 27563232 31008636 41344848 62017272 82689696 124034544 248069088