Search a number
-
+
23767425 = 345211297
BaseRepresentation
bin101101010101…
…0100110000001
31122201111210000
41122222212001
522041024200
62205230213
7406006533
oct132524601
948644700
1023767425
1112463900
127b62369
134c02186
143229853
152147300
hex16aa981

23767425 has 90 divisors (see below), whose sum is σ = 48890534. Its totient is φ = 11404800.

The previous prime is 23767397. The next prime is 23767427. The reversal of 23767425 is 52476732.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1185921 + 22581504 = 1089^2 + 4752^2 .

It is not a de Polignac number, because 23767425 - 216 = 23701889 is a prime.

It is a super-2 number, since 2×237674252 = 1129780982261250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23767425.

It is not an unprimeable number, because it can be changed into a prime (23767427) 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 89 ways as a sum of consecutive naturals, for example, 244977 + ... + 245073.

Almost surely, 223767425 is an apocalyptic number.

23767425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23767425 is an abundant number, since it is smaller than the sum of its proper divisors (25123109).

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

23767425 is a wasteful number, since it uses less digits than its factorization.

23767425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 23767425 is about 4875.1846118891. The cubic root of 23767425 is about 287.5151346790.

It can be divided in two parts, 2376 and 7425, that added together give a square (9801 = 992).

The spelling of 23767425 in words is "twenty-three million, seven hundred sixty-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 97 99 121 135 165 225 275 291 297 363 405 485 495 605 675 825 873 891 1067 1089 1455 1485 1815 2025 2425 2475 2619 3025 3201 3267 4365 4455 5335 5445 7275 7425 7857 9075 9603 9801 11737 13095 16005 16335 21825 22275 26675 27225 28809 35211 39285 48015 49005 58685 65475 80025 81675 86427 105633 144045 176055 196425 240075 245025 293425 316899 432135 528165 720225 880275 950697 1584495 2160675 2640825 4753485 7922475 23767425