Search a number
-
+
23653242 = 2331273449
BaseRepresentation
bin101101000111…
…0101101111010
31122111201011000
41122032231322
522023400432
62202545430
7405022614
oct132165572
948451130
1023653242
1112396038
127b08276
134b92202
1431d9db4
15212357c
hex168eb7a

23653242 has 32 divisors (see below), whose sum is σ = 52992000. Its totient is φ = 7820064.

The previous prime is 23653237. The next prime is 23653243. The reversal of 23653242 is 24235632.

23653242 is a `hidden beast` number, since 2 + 3 + 653 + 2 + 4 + 2 = 666.

It is a super-2 number, since 2×236532422 = 1118951714221128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23653243) 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, 5134 + ... + 8582.

It is an arithmetic number, because the mean of its divisors is an integer number (1656000).

Almost surely, 223653242 is an apocalyptic number.

23653242 is an abundant number, since it is smaller than the sum of its proper divisors (29338758).

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

23653242 is a wasteful number, since it uses less digits than its factorization.

23653242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3581 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 23653242 is about 4863.4598795508. The cubic root of 23653242 is about 287.0539705144.

Adding to 23653242 its reverse (24235632), we get a palindrome (47888874).

The spelling of 23653242 in words is "twenty-three million, six hundred fifty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 127 254 381 762 1143 2286 3429 3449 6858 6898 10347 20694 31041 62082 93123 186246 438023 876046 1314069 2628138 3942207 7884414 11826621 23653242