Search a number
-
+
248423616 = 2632761613
BaseRepresentation
bin11101100111010…
…10010011000000
3122022110020010200
432303222103000
51002044023431
640352325200
76104365050
oct1663522300
9568406120
10248423616
11118257381
126b243800
133c61002c
1424dc9560
1516c21ee6
hexecea4c0

248423616 has 84 divisors (see below), whose sum is σ = 813797712. Its totient is φ = 70977024.

The previous prime is 248423603. The next prime is 248423627. The reversal of 248423616 is 616324842.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 26775 + ... + 34838.

It is an arithmetic number, because the mean of its divisors is an integer number (9688068).

Almost surely, 2248423616 is an apocalyptic number.

It is an amenable number.

248423616 is an abundant number, since it is smaller than the sum of its proper divisors (565374096).

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

248423616 is a wasteful number, since it uses less digits than its factorization.

248423616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61638 (or 61625 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 248423616 is about 15761.4598308659. The cubic root of 248423616 is about 628.6336525571.

The spelling of 248423616 in words is "two hundred forty-eight million, four hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 61613 123226 184839 246452 369678 431291 492904 554517 739356 862582 985808 1109034 1293873 1478712 1725164 1971616 2218068 2587746 2957424 3450328 3881619 3943232 4436136 5175492 5914848 6900656 7763238 8872272 10350984 11829696 13801312 15526476 17744544 20701968 27602624 31052952 35489088 41403936 62105904 82807872 124211808 248423616