Search a number
-
+
23463825 = 35271117239
BaseRepresentation
bin101100110000…
…0011110010001
31122011002022120
41121200132101
522001320300
62154524453
7403303440
oct131403621
948132276
1023463825
11122767a0
127a36729
134b26c28
14318ad57
1520d73a0
hex1660791

23463825 has 96 divisors (see below), whose sum is σ = 51425280. Its totient is φ = 9139200.

The previous prime is 23463823. The next prime is 23463827. The reversal of 23463825 is 52836432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23463823) and next prime (23463827).

It is not a de Polignac number, because 23463825 - 21 = 23463823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (23463821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98056 + ... + 98294.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 223463825 is an apocalyptic number.

23463825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23463825 is an abundant number, since it is smaller than the sum of its proper divisors (27961455).

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

23463825 is a wasteful number, since it uses less digits than its factorization.

23463825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 23463825 is about 4843.9472540481. The cubic root of 23463825 is about 286.2856658013.

The spelling of 23463825 in words is "twenty-three million, four hundred sixty-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 11 15 17 21 25 33 35 51 55 75 77 85 105 119 165 175 187 231 239 255 275 357 385 425 525 561 595 717 825 935 1155 1195 1275 1309 1673 1785 1925 2629 2805 2975 3585 3927 4063 4675 5019 5775 5975 6545 7887 8365 8925 12189 13145 14025 17925 18403 19635 20315 25095 28441 32725 39435 41825 44693 55209 60945 65725 85323 92015 98175 101575 125475 134079 142205 197175 223465 276045 304725 312851 426615 460075 670395 711025 938553 1117325 1380225 1564255 2133075 3351975 4692765 7821275 23463825