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23768955 = 3257611237
BaseRepresentation
bin101101010101…
…0111101111011
31122201120212200
41122222331323
522041101310
62205241243
7406014150
oct132527573
948646780
1023768955
1112464a71
127b63223
134c02a92
14322a227
1521479c0
hex16aaf7b

23768955 has 48 divisors (see below), whose sum is σ = 47895744. Its totient is φ = 10679040.

The previous prime is 23768933. The next prime is 23768957. The reversal of 23768955 is 55986732.

It is a happy number.

It is not a de Polignac number, because 23768955 - 25 = 23768923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 23768955.

It is not an unprimeable number, because it can be changed into a prime (23768957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18597 + ... + 19833.

It is an arithmetic number, because the mean of its divisors is an integer number (997828).

Almost surely, 223768955 is an apocalyptic number.

23768955 is an abundant number, since it is smaller than the sum of its proper divisors (24126789).

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

23768955 is a wasteful number, since it uses less digits than its factorization.

23768955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1313 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 23768955 is about 4875.3415264984. The cubic root of 23768955 is about 287.5213040294.

The spelling of 23768955 in words is "twenty-three million, seven hundred sixty-eight thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 61 63 105 183 305 315 427 549 915 1237 1281 2135 2745 3711 3843 6185 6405 8659 11133 18555 19215 25977 43295 55665 75457 77931 129885 226371 377285 389655 528199 679113 1131855 1584597 2640995 3395565 4753791 7922985 23768955