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23892084 = 2234371993
BaseRepresentation
bin101101100100…
…1000001110100
31122221211210000
41123021001310
522104021314
62212031300
7410036136
oct133110164
948854700
1023892084
1112539527
128002530
134c46b38
14325d056
15216e209
hex16c9074

23892084 has 60 divisors (see below), whose sum is σ = 64178884. Its totient is φ = 7744896.

The previous prime is 23892073. The next prime is 23892119. The reversal of 23892084 is 48029832.

It can be written as a sum of positive squares in 2 ways, for example, as 19607184 + 4284900 = 4428^2 + 2070^2 .

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 10992 + ... + 12984.

Almost surely, 223892084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23892084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32089442).

23892084 is an abundant number, since it is smaller than the sum of its proper divisors (40286800).

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

23892084 is a wasteful number, since it uses less digits than its factorization.

23892084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23892084 is about 4887.9529457637. The cubic root of 23892084 is about 288.0169260885.

It can be divided in two parts, 238920 and 84, that multiplied together give a triangular number (20069280 = T6335).

The spelling of 23892084 in words is "twenty-three million, eight hundred ninety-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1993 1998 2997 3986 3996 5979 5994 7972 11958 11988 17937 23916 35874 53811 71748 73741 107622 147482 161433 215244 221223 294964 322866 442446 645732 663669 884892 1327338 1991007 2654676 3982014 5973021 7964028 11946042 23892084